A horizontal force acting on a box of mass 1kg has a magnitude of `F=1t^(2)N`, where t is in second.If the box starts from rest,determine its speed at t=3s .The coefficient of static friction and kinetic friction between the box and horizontal surface are `mu_(s)`=0.4 and `mu_(k)`=0.3 respectively(g=10m/`s^(2)`)

Determine the maximum horizontal force F that may be applied to the plank of mass m for which the solid sphere does not slip as it begins to roll on the plank. The sphere has a mass M and radius R . The coefficient of static and kinetic friction between the sphere and the plank are mu_(S) and mu_(k) respectively.

A long plank begins to move at t=0 and accelerates along a straight track wit a speed given by v=2t^(2) for 0le t le 2 (where v is in m/s and t is in second). After 2 sec the plane continues to move at the constant speed acquired. A small initially at rest on the plank begins to slip at t=1 sec and stops sliding at t=3 sec. If the coefficient of static friction and kinetic friction between the plank and the block is 0.s and 0.k (where s and k are digits) respectively, find s+k (take g=10m//s^(2) )

A force of 750 N is applied to a block of mass 102 kg to prevent it from sliding on a plane with an inclination angle 30^@ with the horizontal. If the coefficients of static friction and kinetic friction between the block and the plane are 0.4 and 0.3 respectively, then the frictional force acting on the block is

Block B rests on surface . If the coefficient of static friction between A and B is mu = 0.4 . Determine the acceleration of each , if (a) F = 30 N and (b) F = 250 N (g = 10 m//s^(2))

Determine the acceleration of the 5 kg block A . Neglect the mass of the pulley and cords . The block B has a mass of 10 kg , The coefficient of kinetic friction between block B and the surface is mu _(k) = 0.1 (take g = 10 m//s^(2))

A force F=2t is spplied at t=0 sec to the block of mass m placed on a rough horizontal surface. The coefficient of static and kinetic friction between the block and surface are mu_S and mu_k rspectively. Which of the following graphs best represents the acceleration vs time of the block (mu_Sgtmu_k) ?

A force F=2t is spplied at t=0 sec to the block of mass m placed on a rough horizontal surface. The coefficient of static and kinetic friction between the block and surface are mu_S and mu_k rspectively. Which of the following graphs best represents the acceleration vs time of the block (mu_Sgtmu_k) ?

A block of mass 5kg is lying on a rough horizontal surface. The coefficient of static and kinetic friction are 0.3 and 0.1 and g= 10 ms^(-2) The frictional force on the block is

Detrmine the maximum acceleration of the train in which a box lying on the floor will remain stationary given that the coefficient of static friction between the box and the train s floor is 0.15 given g = 10 m//s^(2) .

A horizontal force of 20 N is applied to a block of mass 4 kg resting on a rough horizontal table. If the block does not move on the table, how much frictional force the table is applying on the block. What can be said about the coefficient of static friction between the block and the table? Take g=10m/s^2 .