Home
Class 11
PHYSICS
A block of mass m is attached with a mas...

A block of mass m is attached with a massless spring of force constant k. The block is placed over a rough inclined surface for which the coefficient of friction is `mu=(3)/(4)`. The minimum value of M required to move the block up the plane is (Neglect mass of string, mass of pulley and friction in pulley)

A

`(3)/(5)m`

B

`(4)/(5)m`

C

`(6)/(5)m`

D

`(3)/(2)m`

Text Solution

Verified by Experts

The correct Answer is:
A
As long as the block of mass `m` remains stationary, the block of mass `M` released from rest comes down by `(2Mg)/(K)(` before coming it rest momentanly again `)` .
Thus the maximum extension in spring is
`x=(2Mg)/(K) …….(1)`
for block of mass `m` to just move up the incline
`kx=mg sin theta + mu mg cos theta ........(2)`
`2Mg=mgxx(3)/(5)+(3)/(4) mg xx(4)/(5)`
or `M=(3)/(5) m Ans. `
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 38|5 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 39|3 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 36|5 Videos

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise Exercise|53 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE ENGLISH|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

A block of mass m is attached with a massless spring of force constant K. the block is placed over a rough inclined surface for which the coefficient of friction is mu =3/4 find the minimum value of M required to move the block up the place. (Neglect mass of string and pulley. Ignore friction in pulley). .

Two blocks, each of mass m are attached with a massless and inextensible string. One of the blocks is placed on the rough horizontal surface of a table for which coefficient of friction mu . Find out the force exerted by the table on the block if mu gt 1 .

A block of mass 2 kg is kept on a rough horizontal floor an pulled with a force F. If the coefficient of friction is 0.5. then the minimum force required to move the block is :-

A block of mass m is placed at rest on a horizontal rough surface with angle of friction phi . The block is pulled with a force F at an angle theta with the horizontal. The minimum value of F required to move the block is

A block of mass m is placed at rest on a horizontal rough surface with angle of friction phi . The block is pulled with a force F at an angle theta with the horizontal. The minimum value of F required to move the block is

A block of mass m attached with a an ideal spring of force constant k is placed on a rough inclined plane having inclination theta with the horizontal and coefficient of friction mu=1//2 tan theta , Initially the block is held stationary with the spring in its relaxed state, find the maximum extension in the spring if the block is released.

Two blocks each having mass m is attached to each other with a spring having force constant k. The system is placed on a rough horizontal surface having coefficient of friction mu . The maximum initial compression, that can be given to the spring so that when released the blocks do not move is

A block of mass m is at rest on a rough inclined plane of angle of inclination theta . If coefficient of friction between the block and the inclined plane is mu , then the minimum value of force along the plane required to move the block on the plane is

A block of mass m is pulled by a force of constant power P placed on a rough horizontal plane. The friction coefficient between the block and the surface is mu . Then

A block of mass m is lying on an inclined plane. The coefficient of friction between the plane and the block is mu . The force (F_(1)) required to move the block up the inclined plane will be:-