+91-87964 74404
FlagBACK
Question icon
Grade 11Mechanics

a uniform chain of mass M and length L has a part L/3 hanging over the edge of table. if the friction between the table and the chain is neglected the kinetic energy as i completely falls of the table is

Profile image of ayush
7 Years agoGrade 11
Answers icon

1 Answer

Profile image of Arun
ApprovedApproved Tutor Answer7 Years ago
 

unit length of rope is M/L

given L/3 part of rope is hanging

we have to solve using integration methods, lets say 'x' part of rope is consided with an element 'dx' which is pulled up with limits from 0 to L/3

Potential energy = mgh

here dE= integral of ( Mx/L*g*dx)

        E = integral of ( M/L*g*x.dx) limits from 0 to L/3

    P.E = MgL/18

Other Related Questions on mechanics

question mark

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

mechanics
1 Answer Available

Last Activity: 10 Months ago

question mark

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.


11

21

31

41

mechanics
1 Answer Available

Last Activity: 10 Months ago

question mark
A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mm
at the free end, where a small mass of 2 g is positioned. determine
(i) The velocity of the end when passing through the zero position
(ii) The acceleration at maximum displacement
(iii) The maximum kinetic energy of the mass
mechanics
2 Answers Available

Last Activity: 3 Years ago

question mark
An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of spring
constant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by the
damping constant b = 0.07kg/s.
(i) Find the period of the damped oscillation.
(ii) By what percentage does the amplitude of the oscillation decrease in each cycle? 
mechanics
1 Answer Available

Last Activity: 3 Years ago

question mark
If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0
mechanics
1 Answer Available

Last Activity: 3 Years ago