In the shown figure, the pulley of mass $M$ and radius $R$ can rotate about its fixed horizontal axis (axle) without friction. Friction between light inextensible string and pulley is sufficient to prevent slipping of string over pulley. The masses of blocks are $m_{1}$ and $m_{2}$ such that $m_{2} > m_{1}$ . The system is initially released from rest as shown. Before the block of mass $m_{1}$ touches the pulley, pick up the correct statement(s).

the magnitude of acceleration of any small length

d l

of string is constant throughout the motion.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Magnitude of force exerted by string on mass

m_{2}

is large as compared to that exerted by string on mass

m_{1}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

accelerations of both blocks are same.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

The acceleration of small length

d l

of string in contact with block of mass

m_{2}

remains constant.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D The acceleration of small length $d l$ of string in contact with block of mass $m_{2}$ remains constant.
The acceleration of three sections of rope $1, 2$ and $3$ are as shown.

Hence, for the section of rope in contact with pulley, acceleration increases till the section loses contact with pulley.

Due to friction between string and pulley, the tension in right portion of string is larger in comparison
to tension in the left portion of string.

Suggest Corrections

Similar questions

Q. Two blocks of masses

m_{1}

and

m_{2}

are connected through a massless inextensible string. Block of mass

m_{1}

is placed at the fixed rigid inclined surface while the block of mass

m_{2}

hanging at the other end of the string, which is passing through a fixed massless frictionless pulley shown in figure. The coefficient of static friction between the block and the inclined plane is 0.8. The system of masses

m_{1}

and

m_{2}

is released from rest. (Take

g = 10 {m/s}^{2})

Q. Consider two masses with

m_{1} > m_{2}

connected by a light inextensible string that passes over a pulley of radius R and moment of inertia I about its axis of rotation. The string does not slip on the pulley and the pulley turns without friction. The two masses are released from rest separated by a vertical distance

2 h

. When the two masses pass each other, the speed of the masses is proportional to.

Two blocks of masses $m_{1} = 4 k g$ and $m_{2} = 6 k g$ are connected by a string of negligible mass passing over a frictionless pulley as shown in the figure. The coefficient of friction between block $m_{1}$ and the horizontal surface is 0.4. When the system is released, the masses $m_{1} a n d m_{2}$ start accelerating. What additional mass $m$ should be placed over mass $m_{1}$ so that the masses $(m_{1} + m)$ slide with a uniform speed?