Part A Part B Part C A block with mass m_1is placed on an inclined plane with sl

Question

Part A

Part B

Part C

A block with mass m_1is placed on an inclined plane with slope anglealphaand is connected to a second hanging block that has massm_2by a cord passing over a small, frictionless pulley. The coefficient of static friction ismu_sand the coefficient of kinetic friction ismu_k. Part A Find the massm_2for which blockm_1moves up the plane at constant speed once it has been set in motion.Express your answer in terms ofm_1,m_2,alpha,mu_k, andmu_s. Part B Find the massm_2for which blockm_1moves down the plane at constant speed once it has been set in motion.Express your answer in terms ofm_1,m_2,alpha,mu_k, andmu_s. Part C Find the smallest value ofm_2when the blocks will remain at rest if they are released from rest.Express your answer in terms ofm_1,m_2,alpha,mu_k, andmu_s.

Explanation / Answer

A. it been in motion , so kinetic friction

T = m2g

T = m1gsin + km1gcos

so, m2 = m1(sin + kcos)

B. t been in motion , so kinetic friction

T = m2g

m1gsin = T + km1gcos

so m2 = m1(sin - kcos)

C. here comes static friction ( no motion)

T = m2g

m1gsin = T + sm1gcos (for min. case)

so m2 = m1(sin - scos)

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