Home
Class 11
PHYSICS
The pulley shown in figure has a moment ...

The pulley shown in figure has a moment of inertia I about it saxis and its radius is R. Find the magnitude of the acceleration of the two blocks. Assume that the string is light and does not slip on the pulley.

Text Solution

Verified by Experts

Suppose the block of mass .M. goes down with an acceleration .a.. The angular acceleration of the pulley is, therefore.
`alpha=(a)/( R)`
`Mg-T_(i)=Ma`
`T_(2)-mg=ma`
`T_(1)R-T_(2) R=I alpha=I (a)/( R)`
Solving the equations
`a=((M-m)gR^(2))/(I+(M+m)^(2))`
Promotional Banner

Similar Questions

Explore conceptually related problems

Figure shows two blocks of masses m and M connected by a string passing over a pulley. The horizontal table over which the mass m slides is smooth. The pulley has a radius r and moment of inertia I about its axis and it can freely rotate about this axis. Find the acceleration of the mass M assuming that the string does not slip on the pulley.

The pulley shown in figure has a moment of inertias I about its axis and mass m. find the time period of vertical oscillation of its centre of mass. The spring has spring constant k and the string does not slip over the pulley.

The pulley shown in figure has a moment of inertias I about its xis and mss m. find the tikme period of vertical oscillastion of its centre of mass. The spring has spring constant k and the string does not slip over the pulley.

Consider the situation shown in figure. All the surfaces are frictions and the string and the pulley are light. Find the magnitude of the acceleration of the two blocks.

The pulley shown in figure has a radius 10 cm and moment of inertia 0.5 kg-m^2 about its axis. Assuming the inclined planes to be frictionless, calculate the acceleration of the 4.0 kg block.

Find the acceleration of blocks in fig. The pulley and the string are massless.

The pulleys in figure are identical, each having a radius R and moment of inertia I. Find the acceleration of the block M.

A mas m hangs with help of a string wraped around a pulley on a frictionless bearling. The pulley has mass m and radius R. Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass m, if the string does not slip on the pulley, is:

For the given figure the acceleration of 1 kg block if string is massless and mass of pulley is 2 kg and diameter of pulley is 0.2 m :-

Consider the situation shown in the figure. The surface is smooth and the string and the pulley are light. Find the acceleration of each block and tension in the string.