Home
Class 11
PHYSICS
A body of mass m =18kg is placed on an i...

A body of mass `m =18kg` is placed on an inclined plane the angle of inclination is `alpha =37^(@)` and is attached to the top end of the slope with a thread which is parallel to the slope. Then the plane slope is moved with a horizontal acceleration of a. Friction is negligible.

THe acceleration if the body pushes the plane with a force of `(3)/(4)mg` is .

A

`(5)/(43)m//s^(2)`

B

`0.5 m//s^(2)`

C

`0.75 m//s^(2)`

D

`(5)/(6) m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`F.B.D` with respect to plane `F.B.D` with respective to ground
`N + ma sin alpha = mg cos alpha ---(1)`
`T =ma cos alpha + mg sin alpha---(2)`
solving equation (1) and (2) for `N =(3)/(4)mg`
`rArr a = (g)/(12) or a = (5)/(6)m//sec^(2)` and `T =12N`
The body will losse contact for `N =0` For `N=0`
`a =g cot alpha` [From (i)]`a = (40)/(3) m//sec^(2)`
.
Promotional Banner

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise INTEGER TYPE QUESTIONS|23 Videos

  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise MULTIPLE ANSWER QUESTIONS|9 Videos

  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise SINGLE ANSWER QUESTIONS|35 Videos

  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Level 2 H.W|29 Videos

  • OSCILLATIONS

    NARAYNA|Exercise EXERCISE - IV|41 Videos

Similar Questions

Explore conceptually related problems

A body of mass m =18kg is placed on an inclined plane the angle of inclination is alpha =37^(@) and is attached to the top end of the slope with a thread which is parallel to the slope. Then the plane slope is moved with a horizontal acceleration of a. Friction is negligible. At what acceleration will the body lose contact with plane .

A body of mass m =18kg is placed on an inclined plane the angle of inclination is alpha =37^(@) and is attached to the top end of the slope with a thread which is parallel to the slope. Then the plane slope is moved with a horizontal acceleration of a. Friction is negligible. The tension in thread in the above question is .

A block of mass 10 kg is placed on an inclined plane when the angle of inclination is 30^(@) . The block just begins to slide down the plane. The force of static friction is

A body of mass 10 kg is lying on a rough inclined plane of inclination 37^(@) and mu = 1//2 , the minimum force required to pull the body up the plane is

A body is freely rolling down on an inclined plane whose angle of inclination is theta . If a is acceleration of its centre of mass then following is correct

A block of mass m is placed on a smooth inclined plane of inclination theta with the horizontal. The force exerted by the plane on the block has a magnitude

A block of mass 10kg is pushed up on a smooth incline plane of inclination 30^(@) , so that it has acceleration 2m//s^(2) . The applied force is

Knowledge Check

  • A body of mass m =18kg is placed on an inclined plane the angle of inclination is alpha =37^(@) and is attached to the top end of the slope with a thread which is parallel to the slope. Then the plane slope is moved with a horizontal acceleration of a. Friction is negligible. At what acceleration will the body lose contact with plane .

    A
    `(40)/(3) m//s^(2)`
    B
    `7.5 m//s^(2)`
    C
    `10 m//s^(2)`
    D
    `5 m//s^(2)`

  • A body of mass m=1.8 kg is placed on an inclined plane, the angle of inclination is alpha = 37^(@) , and is attached to the top end of the slope with a thread which is parallel to the slop. Then the slope is moved with a horizontal acceleration of a. Fraction is negligible. The acceleration, if the body pushes the slope with a force of (3)/(4) mg is :

    A
    `(5)/(3) m//s^(2)`
    B
    `0.5 m//s^(2)`
    C
    `0.75 m//s^(2)`
    D
    `(5)/(6) m//s^(2)`

  • A body of mass m =18kg is placed on an inclined plane the angle of inclination is alpha =37^(@) and is attached to the top end of the slope with a thread which is parallel to the slope. Then the plane slope is moved with a horizontal acceleration of a. Friction is negligible. The tension in thread in the above question is .

    A
    `12N`
    B
    `10N`
    C
    `8N`
    D
    `4N`