A `1kg` block `'B'` rests as shown on a bracket `'A'` of same mass. Constant forces `F_(1)=20N` and `F_(2)=8N` start to act at time `t=0` when the distance of block `B` from pulley is `50cm`. Time when block `B` reaches the pulley is `……………………` .`(` Assume that friction is absent every where. Pulley and string are light.

A 1 kg block B rests as shown on a bracket A of same mass. Constant forces F_(1) = 25 N and F_(2) = 10N start to act at time t=0 when the distance . Find time when block B reaches the pulley .

Blocks m_(1) and m_(2) starts from rest and move to right with accelerations as shown. If t is in second then the time when block m_(3) again come to rest from t =0 is (pulley and strings are ideal) : .

Blocks m_(1) and m_(2) starts from rest and move to right with accelerations as shown. If t is in second then the time when block m_(3) again come to rest from t =0 is (pulley and strings are ideal) : .

A block B is placed over a cart which in turn lies over a smooth horizontal floor. Block A and Block C are connected to block B with light inextensible strings passing over light frictionless pulleys fixed to the cart as shown. Initially the blocks and the cart are at rest. All the three blocks have mass m and the cart has mass M(M=3m) . Now a constant horizontal force of magnitude F is applied to block A towards right. Q. Let the coefficient of friction between block B and cart is mu(mugt0) and friction is absent everywhere else. Then the maximum value of force F applied to block A such that there is no relative acceleration between block B and cart is

A block B is placed over a cart which in turn lies over a smooth horizontal floor. Block A and Block C are connected to block B with light inextensible strings passing over light frictionless pulleys fixed to the cart as shown. Initially the blocks and the cart are at rest. All the three blocks have mass m and the cart has mass M(M=3m) . Now a constant horizontal force of magnitude F is applied to block A towards right. Q. Let the coefficient of friction between block B and cart is mu(mugt0) and friction is absent everywhere else. Then the maximum value of force F applied to block A such that there is no relative acceleration between block B and cart is

In the figure shown, all surfaces are smooth and the pulley is massless. A constant force of magnitude F = (mg)/(2) is acting on the block of mass M. The acceleration of the block M is :

In the figure shown, all surfaces are smooth and the pulley is massless. A constant force of magnitude F = (mg)/(2) is acting on the block of mass M. The acceleration of the block M is :

shown, both blocks are released room rest. Length of 4kg block is 2m and of 1kg is 4m . Find the time they take to cross each other Assume pulley to be light and string to be light and inelastic .