A force A, which makes an angle of theta with the vertical, is applied to the ma

Question

A force A, which makes an angle of theta with the vertical, is applied to the mass,a s illustrated. if the coefficient of kinetic friction of the ceiling is µk, how fast will the mass be moving after traveling a distance D along the ceiling, assuming the mass starts from rest? A force A, which makes an angle of theta with the vertical, is applied to the mass,a s illustrated. if the coefficient of kinetic friction of the ceiling is µk, how fast will the mass be moving after traveling a distance D along the ceiling, assuming the mass starts from rest?

Explanation / Answer

Given that   Force F = A   making an angle , Given that mass is m which is at rest travelling along the distance is s = D   frictional force f_k  acting on vertical = _k N       N is normal force                = mg  - f cos             = mg  - A cos                 = _k * mg - A cos           net force F = F sin - f_k                               = A sin - _k * mg - A cos                     v^2 - u^2 = 2as                   v^2 -0 = 2 * a * D       According newtons law F = ma                                        a = F_net / m                                            = Asin - _k * mg - A cos   / m                                             = A sin - _k*g - A cos                              substitute the above value to get sol                              

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