A cart moves with a constant speed along a horizontal circular path. From the cart, a particle is thrown up vertically with respect to the cart.

A cart loaded with sand moves along a horizontal floor due to a constant force F coinciding in direction with cart's velocity vector. In the process, the sand spills through a hole in the bottom with a constant rate mukg//s. Find the acceleration and velocity of the cart at the moment t , if at the initial moment t=0 the cart with loaded sand had mass m_(0) and its velocity was equal to zero. Friction is to be neglected.

A cart loaded with sand moves along a horizontal floor due to a constant force F coinciding in direction with cart's velocity vector. In the process, the sand spills through a hole in the bottom with a constant rate mukg//s. Find the acceleration and velocity of the cart at the moment t , if at the initial moment t=0 the cart with loaded sand had mass m_(0) and its velocity was equal to zero. Friction is to be neglected.

In the figure shown, the cart of mass 6m is initially at rest. A particle of mass in is attached to the end of the light rod which can rotate freely about A . If the rod is released from rest in a horizontal position shown, determine the velocity v_(rel) of the particle with respect to the cart when the rod is vertical.

In the figure shown, the cart of mass 6m is initially at rest. A particle of mass in is attached to the end of the light rod which can rotate freely about A . If the rod is released from rest in a horizontal position shown, determine the velocity v_(rel) of the particle with respect to the cart when the rod is vertical.

A heavy cart is pulled by a constant force F along a horizontal track with the help of a rope that passes over a fixed pulley, as shown in the figure. Assume the tension in the rope and the frictional forces on the cart remain constant and consider motion of the cart until it reaches vertically below the pulley. As the cart moves to the right, its acceleration

A heavy cart is pulled by a constant force F along a horizontal track with the help of a rope that passes over a fixed pulley, as shown in the figure. Assume the tension in the rope and the frictional forces on the cart remain constant and consider motion of the cart until it reaches vertically below the pulley. As the cart moves to the right, its acceleration

In the figure shown, the cart of mass 6m is initially at rest. A particle of mass m is attached to the end of the light rod which can rotate freely about A. If the rod is released from rest in a horizontal position shown, determine the velocity v_(rel) of the particle with respect to the cart when the rod is vertical. (Assume frictionless surface)