PYQ Vault
EbooksTutor

Speed or acceleration of a body rolling down an incline

This type of question, asked 5 times: 1 Feb 2023, 29 Jan 2024, 9 Apr 2024, 23 Jan 2025, 24 Jan 2025. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    1 Feb 2023

    28
    A solid cylinder is released from rest from the top of an inclined plane of inclination 30∘30^{\circ} and length 60 cm60\text{ }cm. If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is ____\_\_\_\_ ms−1ms^{- 1}. (Given g=10 ms−2g = 10{\text{ }ms}^{- 2} )

  2. Question 2

    29 Jan 2024

    24
    A cylinder is rolling down on an inclined plane of inclination 60∘60^{\circ}. It's acceleration during rolling down will be x3 m/s2\frac{x}{\sqrt{3}}\text{ }m/s^{2}, where x=x = . _______ (use g=10 m/s2g = 10\text{ }m/s^{2} ).

  3. Question 3

    9 Apr 2024

    115
    A circular disc reaches from top to bottom of an inclined plane of length ll. When it slips down the plane, it takes tsts. When it rolls down the plane then it takes (α2)1/2ts\left( \frac{\alpha}{2} \right)^{1/2}ts, where α\alpha is .............

  4. Question 4

    23 Jan 2025

    14
    A solid sphere of mass ' m ' and radius ' rr ' is allowed to roll without slipping from the highest point of an inclined plane of length ' LL ' and makes an angle 30∘30^{\circ} with the horizontal. The speed of the particle at the bottom of the plane is v1v_{1}. If the angle of inclination is increased to 45∘45^{\circ} while keeping L constant. Then the new speed of the sphere at the bottom of the plane is v2v_{2}. The ratio of v1 2:v2 2v_{1}\ ^{2}:v_{2}\ ^{2} is

    Tap an option to check your answer.

  5. Question 5

    24 Jan 2025

    11
    A uniform solid cylinder of mass ' m ' and radius ' r ' rolls along an inclined rough plane of inclination 45∘45^{\circ}. If it starts to roll from rest from the top of the plane then the linear acceleration of the cylinder axis will be :-

    Tap an option to check your answer.