A chain of mass M and length L is kept on a table with $L / 4$ portion overhanging from edge. Work done by external force to put the hanging portion back on the table:

\frac{M g L}{16}

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

\frac{M g L}{32}

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

\frac{M g L}{8}

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

\frac{M g L}{12}

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

Open in App

Solution

The correct option is A $\frac{M g L}{32}$
Work done is the potential energy of the hanging part.
weight of the hanging part is m/4. height of center of mass from the surface of table of the hanging part is L/8
$∴ W = m / 4 \times L / 8 \times g = m g L / 32$

Suggest Corrections

Similar questions

Q. A uniform chain of mass

m

and length

L

hangs on a table with two thirds of its length on the table. The work done by a person to put the hanging part back on the table will be

A uniform chain of mass $M$ and length $L$ is held on a horizontal frictionless table with $\frac{1}{n^{t h}}$ of its length hanging over the edge of the table. The work done is pulling the chain up on the table is

A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on to the table is [IIT 1985]

A uniform chain of mass $m$ and length $l$ is lying on a frictionless horizontal table with one-third of its length hanging over the edge of the table. The amount of work done to pull the hanging part of the chain up to the table is given by

Q. A chain is held on a frictionless table with

{(\frac{1}{n})}^{t h}

of its length hanging over the edge. If the chain has length L and mass M, how much work is required to pull the hanging part back on the table?

Join BYJU'S Learning Program

A chain of mass M and length L is kept on a table with L/4 portion overhanging from edge. Work done by external force to put the hanging portion back on the table:

The correct option is A MgL32Work done is the potential energy of the hanging part.weight of the hanging part is m/4. height of center of mass from the surface of table of the hanging part is L/8∴W=m/4×L/8×g=mgL/32

A chain of mass M and length L is kept on a table with $L / 4$ portion overhanging from edge. Work done by external force to put the hanging portion back on the table:

The correct option is A $\frac{M g L}{32}$
Work done is the potential energy of the hanging part.
weight of the hanging part is m/4. height of center of mass from the surface of table of the hanging part is L/8
$∴ W = m / 4 \times L / 8 \times g = m g L / 32$