Motion in A Str...

In the system  shown in  figure $$m_A = 4m, m_B = 3 m$$ and $$m_C = 8 m$$. Friction is absent everywhere. String is light and in-extensible. If the system is released from rest find the acceleration of block B 

A particle initially at rest is subjected to two forces. One is constant, the other is a retarding force proportion at to the particle velocity. In the subsequent motion of the particle.

A body is projected vertically up at t = 0 with a velocity of 98 m/s. Another body is projected from the same point with same velocity after 4 seconds. Both bodies will meet at t =

A $$30\ kg $$ block rests on a rough horizontal surface. A force of $$200\ N $$ is applied on the block. The block acquires a speed of $$ 4\ m/s $$ , starting from rest in $$2\ s$$ . What is the value of coefficient of friction?

The driver of a train. A travelling at a speed of $$60 \ km/h$$ applies brakes and brakes and retards the train uniformly. The train stops in $$5 \ s$$, another train $$B$$ is travelling on the parallel track with a speed of $$36 \ kmph$$. This driver also applied the brakes and the train retards uniformly. The train $$B$$ stops in $$10 \ s$$ then distance travelled by each train after the brakes were applied is: 

A body starting from rest is moving with a uniform acceleration $$5m/s^2$$ fro time $$10s$$ and after that with uniform acceleration $$10m/s^2$$ for time $$15s$$ then 

An object performs upwards journey under gravity in time $$t$$ . The downwards journey is performed in time 

The times taken by a block wood (initially at rest ) to slide down a smooth inclined plane $$9.8m$$ long (angle of inclination is $$30^o$$) is  

A lift initial at rest top floor of a building moves downwards with a constant speed of $$5/ms$$ for first $$8s$$ . Therefore the support ropes are cut . The time taken by the lift to reach the ground floor from the instant its ropes were cut is. [take $$g=10m/s^2$$ and height of building $$=100m$$]

A block rests on a truck moving with a velocity of $$2m/s$$. The coefficient of friction between box and truck is 0.1 . The driver applies the brake, and the truck starts to decelerate uniformly and stops in $$s$$. The total distance travelled by the box w.r.t the truck is