Question

What is the acceleration of the block and trolley system shown in a figure. If the coefficient of kinetic friction between the trolley and the surface is 0.04, what is the tension in the string? (Neglect the mass of the string.) (take g = 10 ms^-2).

Consider two masses m1 and m2 connected by a light and inextensible string passing over a smooth light pulley which is fixed by a rigid cord, from a rigid support as shown in figure. This device is also known as Atwood's machine. Find the tension in the rope and acceleration of each block.

A body of mass m1 equal to 20 kg is placed on a smooth horizontal table. This body is connected to a string which passes over a frictionless pulley. The string also carries another body of mass m2 equal to 10 kg at the other end. Find out the acceleration which will be produced when the nail fixed on the table is removed, also find out the tension in the string during the motion of the bodies. What is the result, when the bodies stop? Take g = 10 N/kg.

Consider the body of mass m is suspended by two strings making angles α and β with the horizontal as shown in figure. If the body is in equilibrium, then find out the tension in the strings.