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Figure shows smooth inclined plane fixe...

Figure shows smooth inclined plane fixed in a car accelerating on a horizontal road. The angle of incline `theta` is related to the acceleration a of the car as `a=g tantheta`. If the sphere is set in pure rolling on the incline

A

it will continue pure rolling

B

it will slip down the plane

C

its linear velocity will increase

D

it linear velocity will slowlyidecrease.

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • A sphere rolls down an inclined plane of inclination theta . What is the acceleration as the sphere reaches bottom ?

    A
    `(5)/(7) g sin theta`
    B
    `(3)/(5) g sin theta`
    C
    `(2)/(7) g sin theta`
    D
    `(2)/(5) g sin theta`

  • The acceleration of the sliding object in an inclined plane

    A
    `g cos theta `
    B
    `mg cos theta `
    C
    `g sin theta `
    D
    `mg tan theta `

  • The angle of inclined plane with the horizontal such that an object placed on it begins to slide is

    A
    angle of friction
    B
    angle of repose
    C
    angle of response
    D
    angle of retardation

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    A particle slides down a smooth inclined plane of elevation theta fixed in an elevator going up with an acceleration a_0 . The base of the incline has a length L. Find the time taken by the particle to reach the bottom.

    In a children park an inclined plane is constructede with an angle of incline 45^0 in the middle part figure. Find the acceleration of a boy sliding on it if the friction coefficient between the cloth of the boy and the incline is 0.6 and g=10 m/s^2 .

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