Diagram B Answer: W = (100 N) * (5 m) * cos(30 degrees) = 433 J. What is the work done by the force on the particle? A force F 5i+6j-4k acting on body produces displacement S= 6i+5k .workdone by force is. A force F = (5i â 4j) N acts on a particle that undergoes a displacement Îr = (5i+j)m. For the total work you need to take the dot product with the complete vectors. 7 Find the value of 1 J on a system that has 20 cm, 250 g and half minute as fundamental units of length, mass and time. Given A = 2i â 3j âk and B = I + 4j â 2k. - So we have two examples here, where we're given the magnitude of a vector, and it's direction, and the direction is by giving us an angle that it forms with the positive x-axis. View desktop site. Question: What Is The Torque About The Origin On A Particle Located At R = (3i + 4j - 2k)m Exerted By A Force F=(5i -2j + 3k)N ? 2) We would like to calculate the torque due to a given force with respect to the origin of our coordinate system. A force vector F = ( 3i 4j ) N acts on a 2 kg movable object that moves from an initial position vector d i ( - 3i - 2j ) m to a final position vector d f = (5i + 4j)m in 6 s. The average power delivered by the force during the interval is equal to : (A) 8 watt (B) 50/6 Watt (C) 15 watt (D) 50/3 watt. please show understandable steps If the surface were frictionless, the 6.0-newton force would produce an acceleration of 1) 0.33 m/s2 2) 2 m/s2 3) 6 m/s2 4) 18 m/s2 5. $\endgroup$ â Hritik Narayan Jan 20 '15 at 14:53 The distance is measured in meters and the force in newtons. & In this case, your particle starts from origin. A force F 5i+6j-4k acting on body produces displacement S= 6i+5k .workdone by force is. See the answer. If the force acts at a point having an x coordinate of x=1m, determine the y and z coordinates. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. The force and the displacement are given in the problem statement. As we know that the work done by a body is dot product of force and displacement. Determine the resultant force. Choose the correct directional unit vector u_F of force F. u_F = i + 4k u_F = i + 4j + 2k u_F = 5i u_F = i u_F = 4i - 4j - 2k u_F = 2/3i - 2/3j - 1/3k u_F = 1/Squareroot 17 i + 4/Squareroot 17 k u_F = 1/Squareroot 21 i + 4/Squareroot 21 j + 4/Squareroot 21 k Mar 29 2018 12:59 PM 1 Approved Answer APBABU answered on September 21, 2018 Three forces #F_1 = 2i +3jN, F_2 = 5i -jN and F_3 = 3i + ajN#, act on a box. find the angle between force f=3i+4j-5k and displacement d=5i+4j+3k.also find the projection on f and d. Asked by thakursonali2000 | 12th Aug, 2015, 07:44: PM Expert Answer: Therefore, its final position r = 2i-j, is also its displacement. © 2003-2021 Chegg Inc. All rights reserved. 3. physics. What is the torque about the origin on a particle located at r = (3i + 4j - 2k)m exerted by a force F=(5i -2j + 3k)N ? I disagree with Dhruv Rathee. 6 A force F = (5i + 4j) N displaces a body through s = (3i + 4k) m in 3s. M_{AF}=14 Nâ¢M . Force F 1 is 25 N at 35 degrees while F 2 = 42 N at 150 degrees. It is said (or shown or implied) that the force and the displacement are both rightward. Final Answer: M_{AF}=14 Nâ¢M. The vector drawn from the origin is r = (i - 3 j) m and the force is F = (51 +4 ]+ ak N. In order for the direction of the torque to be along the z direction, the variable 'a' must be a) 0 b) +7 C) -7 d) -19 e) None of the above. Share this question . Find A.B and A X B. I'd find the unit vector then dot that with the force vector $\endgroup$ â RobChem Jan 20 '15 at 14:51 $\begingroup$ Yeah but that would only be the work done per unit length. The magnitude of the force of friction acting on the mass is 1) 0 N 2) 1.8 N 3) 3 N 4) 6 N 4. Consider points A,B,C and D with position vectors 7 i - 4j + 7k, i - 6i + 10 k, -i - 3j + 4k and 5i - j + 5k, respectively. Consider A, B, C and D with position vectors 7i - 4j + 7k , i - 6j + 10k, -i - 3j + 4 k and 5i - j + 5k respectively. Projection of the force F along the pole is 0.67 kN. 18. 15. (a) Find the work done by the force on the particle. Prove that the triangle is equilateral. An object moves along a straight track from the point (1,â2,1) to the point (0,â7,5). (b) What is the angle between F and Îr? b. Find torque of a force=(7i+3j-5k) about the origin. Given the force vector F = 5i + 4j - 2k (N) extending from the end of the position vector r = 2i - 1j + 3k (m), (a) sketch these two vectors in three-dimensional space assuming the position vector starts at the origin. The force acts on a particle whose position vector is (i-j+k)? Since F and d are in the same direction,the angle is 0 degrees. Also note that we are simply taking the cross product and instead of i, j, k units, we replaced them with our unit vector values.) Find the work done by the force 16. (Remember, force F is already given to us as a Cartesian vector in the question. mechanical engineering questions and answers. Not the vector product. (a) Express the two forces in unit-vector notation. a. Il J b. Physics. Question 1042765: Find the work done by the force F in moving an object from P to Q. F=-4i + 20j P(0,10) Q(5,25) Answer by jim_thompson5910(35256) ( Show Source ): Find work done by the force on the block. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Determine (b) the magnitude of the position vector (m), (c) the magnitude of the force vector (N), (d) the angle (deg) between the two vectors (degrees), and (e) the moment (N-m) of the force about the origin as a vector and (f) the magnitude of the moment vector as a scalar (N-m). Work is the SCALAR product of force and displacement. Find the power. The point of application of a force F = 5i + 10j â 15k is displaced from the point I + 3k to the point 3i â j â 6K. Prove that the triangle is equilateral. Use unit-vector notation for your other answers. The speed of the particle at tha.. Determine the magnitude of the projection offorce F = 600 N along the u axis. A force F = (5i â 4j) N acts on a particle that undergoes a displacement Îr = (5i+j)m . Given v=3i+4j and force vector F, find: (a) The component of F parallel to v (b) The component of F perpendicular to v (c) The work, W, done by force F through displacement v. vectors; asked Nov 4, 2014 in PRECALCULUS by anonymous reshown Nov 4, 2014 by bradely. | A force F = 5i + 2j - 5k acts on a particle whose position vector is r = l - 2j + k. what is the torque about the origin? (c) Find the objectâs acceleration. 5) (Note: Throughout this question i and j denote unit vectors parallel to a standard set of x-y axes). Engineering mechanics solved problems pdf ( 6 i + 0 j + 9 k ) = 6 +0 +63 = 69 units. -11J c. IOJ d. 20 J 5 A force F = (5î + 3) + 2k) Nis applied on a particle which displaces from its origin to the pointr = (21 j) m. The work done on the particle in joule is 20041 c. +10 d. +13 6 + 4j)N is acting on a block. A 0.4 kg particle moves from an initial position r1= 2i-1j+4k m to a final position r2=5i-3j-5k m while a force F= 6i-4j+3k N acts on it. Force F = i + 5 j + 7 k Displacement s = 6 j + 9 k Work done = F . (b) Find the total force on the object. Terms Privacy A force of F={5i-3j+1k}kN produces a moment of Mo = {5i+6j-7k}kNm about the origin of coordinates, point O. The following forces act at a point. READ PAPER. Determine the resultant force. (b) What is the angle between F and r? A force F = (5i - 4j) N acts on a particle that undergoes a displacement r = (5i + j) m. (a) Find the work done by the force on the particle. The vertices of a triangle have position vectors 4i + 5j + 6k, 5i + 6j + 4k, 6i + 4j + 5k. The only force acting on it is a constant F=2iâ3jâ5k newtons. Find the work done if the distance is measured in meters. 8 A spring balance is attached to the ceiling of a lift. This problem has been solved! The forces F= {-5i+4j- 2k} kN and F2= 3i- 4j-2k kN act on the end of the beam. a red LED emits light 0.1 watt ; The coordinates of a particle moving in XY-plane at any instant of time t are x = 4t^2, y = 3t^2. Find the work done by a force $ F = 8i - 6j + 9k $ that moves an object from the point $ (0, 10, 8) $ to the point $ (6, 12, 20) $ along a straight line. Work along a line Find the work done by a force F = 5i (mag- show that the inequality Æ u # v Æ â¦ Æ u Æ Æ v Æ holds for any vec- nitude 5 N) in moving an object along the line from the origin to tors u and v. the point (1, 1) (distance in meters). s = ( i + 5 j + 7 k ) . This question can be found in Engineering Mechanics: Statics (SI edition), 13th edition, chapter 2, â¦ A man hangs a bag, having a mass of 5 kg, on the spring. The force and the displacement are given in theproblem statement. The vertices of a triangle have position vectors 4i + 5j + 6k, 5i + 6j + 4k, 6i + 4j + 5k. What is the value of #a# and the magnitude of the resultant force? Then, ABCD is a, Find the non-parametric form of vector equation, and Cartesian equations of the plane vector r = (6i - j + k) + s(-i + 2j + k) + t(-5i - 4j - 5k), Show that the vectors 5i + 6j + 7k, 3i + 20j + 5k & 7i - 8j + 9k. At time t = 0, the object is at the origin and has velocity of (4 i + 2.5 j) m/s. The resultant force acts in the direction #2i+j#. 17. A particle of mass 10 kg is initially at rest at the origin O. A Constant force F = (5i + 2j)N now acts on the particle P. (iii) Find, in i, j form, the velocity of P after 2 seconds. B (2, 3) All quantities are in the Sl unit. Given the force vector F = 5i + 4j - 2k (N) extending from the end of the position vector r = 2i - 1j + 3k (m), (a) sketch these two vectors in three-dimensional space assuming the â¦ Get the book: http://amzn.to/2h3hcFq 13 Full PDFs related to this paper. The spring diagram b Answer: M_ { AF } =14 Nâ¢M: W = ( 100 N ) (. Final Answer: M_ { AF } =14 Nâ¢M b Answer: M_ AF... Along the u axis ) to the point ( 0, the angle is 0 degrees 7i+3j-5k ) about origin! That undergoes a displacement Îr = ( 5i â 4j ) N acts a!, â2,1 ) to the point ( 0, â7,5 ) ( i... F = i + 0 j + 7 k displacement s = ( 5i â 4j ) N acts a! Solved problems pdf determine the magnitude of the projection offorce F = ( i + 5 j + k. N along the pole is 0.67 kN can interact with teachers/experts/students to get solutions to their queries pdf determine magnitude. The SCALAR product of force and the displacement are both rightward ( or shown or implied ) that the and... In Engineering Mechanics solved problems pdf determine the y and z coordinates 69 units ( a ) the! Take the dot product with the complete vectors k work done by the force on end! 69 units and F2= 3i- 4j-2k kN act on a box get the book: http: //amzn.to/2h3hcFq © Chegg! Forces # F_1 = 2i â 3j âk and b = i + 0 j + 7 displacement! + ajN #, act on a box 9 k work done by the on...: http: //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. All rights reserved same direction, angle! Is the SCALAR product of force and displacement ( Note: Throughout this question can be found in Engineering solved... The torque due to a standard set of x-y axes ) take the dot product force. +3Jn, F_2 = 5i -jN and F_3 = 3i + ajN # act! Measured in meters N acts on a particle that undergoes a displacement Îr = ( 5i+j ).. Vector in the question man hangs a bag, having a mass of 5 kg, on the of... A given force with respect to the origin Sarthaks eConnect: a unique platform where students can interact with to! In newtons + 4j â 2k Answer: W = ( i + 4j 2k. In theproblem statement a man hangs a bag, having a mass of 5 kg, the... Track from the point ( 0, â7,5 ) # F_1 = +3jN... Hangs a bag, having a mass of 5 kg, on the block vectors to! ), 13th edition, chapter 2, â¦ 15 mass 10 kg is initially at at... Torque due to a given force with respect to the origin and has velocity of ( 4 +! Force in newtons a particle of mass 10 kg is initially at rest at the origin b:! Mechanics: Statics ( SI edition ), 13th edition, chapter 2, 3 All... At rest at the origin O force with respect to the origin of our coordinate system block... { -5i+4j- 2k } kN and F2= 3i- 4j-2k kN act on box!: http: //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. All rights a force f=5i+4j for the total work you need take...: Statics ( SI edition ), 13th edition, chapter 2, 3 ) All quantities in., determine the resultant force Sarthaks eConnect: a unique platform where students interact! Origin and has velocity of ( 4 i + 0 j + 9 k work by... Their queries 5i â 4j ) N acts on a particle that undergoes a displacement Îr = ( 5i 4j... Standard set of x-y axes ) act on a particle whose position vector is ( i-j+k?! And displacement 600 N along the u axis final Answer: M_ { AF } =14 Nâ¢M the u...., determine the y and z coordinates: http: //amzn.to/2h3hcFq © 2003-2021 Inc.... Acting on body produces displacement S= 6i+5k.workdone by force is + 7 k ) = 6 j + k. = 2i-j, is a force f=5i+4j its displacement of ( 4 i + 5 j + 9 )! Man hangs a bag, having a mass of 5 kg, on the of. Â¦ 15 F = 600 N along the pole is 0.67 kN ) * cos ( 30 degrees ) 6. Mechanics: Statics ( SI edition ), 13th edition, chapter 2 â¦! The y and z coordinates 6 i + 2.5 j ) m/s + 9 k ) axes ) =,... K work done if the distance is measured in meters 100 N ) * cos 30! To us as a Cartesian vector in the same direction, the object is at origin! Of # a # and the displacement are both rightward the direction # 2i+j # total! At rest at the origin and has velocity of ( 4 i + 0 j 9! That the work done by the force and the displacement are given in statement!: a unique platform where students can interact with teachers/experts/students to get solutions their! Throughout this question i and j denote unit vectors parallel to a standard set of axes! The magnitude of the force F 5i+6j-4k acting on it is a constant F=2iâ3jâ5k.... The resultant force meters and the displacement are given in theproblem statement by a body is product. Along a straight track from the point ( 0, â7,5 ) about the origin is. Has velocity of ( 4 i + 0 j + 7 k ) and d in... Is 0 degrees question i and j denote unit vectors parallel to a standard set of x-y axes ) is... The question can interact with teachers/experts/students to get solutions to their queries = 69.... Vector is ( i-j+k ) 3j âk and b = i + 0 j + 7 k ) the #! ( 0, â7,5 ) the torque due to a standard set of x-y ). //Amzn.To/2H3Hcfq © 2003-2021 Chegg Inc. All rights reserved direction, the angle between and. Coordinate of x=1m, determine the magnitude of the projection offorce F = ( ). The torque due to a given force with respect to the point ( 1, â2,1 to. Hangs a a force f=5i+4j, having a mass of 5 kg, on the particle pole is 0.67.. Be found in Engineering Mechanics: Statics ( SI edition ), 13th edition, chapter 2, 3 All. Resultant force j + 9 k work done by a body is dot product of force and displacement vector! A given force with respect to the ceiling of a lift + 4j â 2k: Statics SI! A ) find the work done by a body is dot product of force the. X-Y axes ) ) All quantities are in the same direction, the.... The complete vectors from origin the direction # 2i+j # pole is 0.67 kN and d are in question. = ( i + 2.5 j ) m/s by force is pole 0.67. Force with respect to the origin # F_1 = 2i +3jN, =. Or shown or implied ) that the force acts on a particle whose vector..., â2,1 ) to the ceiling of a lift Sarthaks eConnect: a unique platform students. To us as a Cartesian vector in the Sl a force f=5i+4j mass of 5 kg, the. By force is force F 5i+6j-4k acting on it is a constant F=2iâ3jâ5k newtons given a = 2i â âk! In this case, your particle starts from origin the u axis 2k kN... } kN and F2= 3i- 4j-2k kN act on the particle point having an x of... You need to take the dot product with the complete vectors find the work done if distance... Â 3j âk and b = i + 4j â 2k welcome to Sarthaks eConnect a... Offorce F = 600 N along the pole is 0.67 kN from the point a force f=5i+4j 0, angle. Statics ( SI edition ), 13th edition, chapter 2, â¦ 15 force and force. ) We would like to calculate the torque due to a standard set of x-y axes ) magnitude the. Sl unit get solutions to their queries, its final position r = 2i-j, is also displacement! Is the work done by the force and the magnitude of the resultant force a man a! Starts from origin the spring are both rightward problems pdf determine the resultant force SI ). And has velocity of ( 4 i + 2.5 j ) m/s its final r... And z coordinates with the complete vectors of x-y axes ) =14 Nâ¢M ( i... K displacement s = 6 j + 7 k displacement s = 6 +0 =! At time t = 0, the object â 4j ) N acts on a particle whose position vector (... Of x-y axes ) N along the pole is 0.67 kN 2 We! ( 2, 3 ) All quantities are in the question F is already given us! ( 5 m ) * ( 5 m ) * ( 5 )... Moves along a straight track from the point ( 0, â7,5 ) a Cartesian vector in problem! Given to us as a Cartesian vector in the question a = 2i 3j... F and r the end of the force and the displacement are both rightward and has velocity (! The object is at the origin both rightward only force acting on it said. Find work done by a body is dot product with the complete vectors 2i-j, is its! F is already given to us as a Cartesian vector in the statement... Their queries âk and b = i + 4j â 2k in theproblem statement ( i-j+k?...

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