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A block of mass m is resting on top of a block of mass M that is placed on top of a frictionless table. A string is attached to the bottom block and pulled with a force of F. What is the smallest value for the coefficient of static friction that will ensure m does not slip?

A block of mass m is resting on top of a block of mass M that is placed on top of a frictionless table. A string is attached to the bottom block and pulled with a force of F. What is the smallest value for the coefficient of static friction that will ensure m does not slip?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Answer question 3 please. Image 2 shows answers to question 1 and 2

Question 1. A block of mass m is placed at the top of an incline with coefficient of static friction µ. What is the largest angle of the ramp at which the block will not slide? Question 2. A block of mass mj hangs from an ideal rope attached to a block of mass m2 which sits on an incline of angle ø. Friction is present between the ramp and m2. M. Mi (a) Assume that initial neither block is moving. Draw a separate free body diagram for each mass. (b) If the blocks are not moving, what is the magnitude and direction of the force of static friction on m2? (c) If the block are not moving, what is the smallest possible value for the coefficient of static friction us between the ramp and m2? (d) Now someone briefly pushes the second block so that it begins to slide down. After the person stops pushing, what is the direction and magnitude of the force of kinetic friction on m2 if µk = 1/18? (e) What is the acceleration of block 1? Question 3. A block of mass m is resting on top of a block of mass M that is placed on top of a frictionless table. A string is attached to the bottom block and pulled with a force of F. What is the smallest value for the coefficient of static friction that will ensure m does not slip?
Transcribed Image Text:Question 1. A block of mass m is placed at the top of an incline with coefficient of static friction µ. What is the largest angle of the ramp at which the block will not slide? Question 2. A block of mass mj hangs from an ideal rope attached to a block of mass m2 which sits on an incline of angle ø. Friction is present between the ramp and m2. M. Mi (a) Assume that initial neither block is moving. Draw a separate free body diagram for each mass. (b) If the blocks are not moving, what is the magnitude and direction of the force of static friction on m2? (c) If the block are not moving, what is the smallest possible value for the coefficient of static friction us between the ramp and m2? (d) Now someone briefly pushes the second block so that it begins to slide down. After the person stops pushing, what is the direction and magnitude of the force of kinetic friction on m2 if µk = 1/18? (e) What is the acceleration of block 1? Question 3. A block of mass m is resting on top of a block of mass M that is placed on top of a frictionless table. A string is attached to the bottom block and pulled with a force of F. What is the smallest value for the coefficient of static friction that will ensure m does not slip?
2:25 AM Wed Feb 17 全58% 0O Dynamics_3 5 abc 222 N~ Answer : The largest angqle of the ramp at which the block will 1ot slide is tan 'H. 2b) Fe = M1g t Mz gsine The dire ċtion %3D of the forie Of friction is, in upward direction along. the incline plane 20) 2) M= M + My snØ MI Cos Ø this. i.5 the Minimum static coefficient reauvired for the blocks to be slationary fuolo.54) m. .cos 2. 2e) a - m,9l sinø - cosØ) + mig
Transcribed Image Text:2:25 AM Wed Feb 17 全58% 0O Dynamics_3 5 abc 222 N~ Answer : The largest angqle of the ramp at which the block will 1ot slide is tan 'H. 2b) Fe = M1g t Mz gsine The dire ċtion %3D of the forie Of friction is, in upward direction along. the incline plane 20) 2) M= M + My snØ MI Cos Ø this. i.5 the Minimum static coefficient reauvired for the blocks to be slationary fuolo.54) m. .cos 2. 2e) a - m,9l sinø - cosØ) + mig
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