Two different bodies rolling on the same incline: speeds, times, energies or heights compared
This type of question, asked 7 times: 2021 Paper 12, 2021 Paper 13, 25 Jul 2022, 27 Jan 2024, 4 Apr 2024, 24 Jan 2025, 4 Apr 2025. All 7 questions below, oldest first.
Try each one first, then open its answer.
Question 1
2021 Paper 12
17A solid cylinder and ring are released from rest in top of inclined plane. Find ratio of their velocities when they reach bottom, assuming pure rollingTap an option to check your answer.
Question 2
2021 Paper 13
9If a ring and a solid cylinder of same mass and radius are released from the top of an inclined plane. If the time taken by ring to come down is and time taken by cylinder is while both perform pure rolling, then choose the correct option.Tap an option to check your answer.
Question 3
25 Jul 2022
5A solid cylinder and a solid sphere, having same mass and radius , roll down the same inclined plane from top without slipping. They start from rest. The ratio of velocity of the solid cylinder to that of the solid sphere, with which they reach the ground, will be:Tap an option to check your answer.
Question 4
27 Jan 2024
116A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the ratio of their kinetic energies is where is ______Question 5
4 Apr 2024
30A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with same initial speed . The sphere and the cylinder reaches upto maximum heights and , respectively, above the initial level. The ratio is . The value of is ____ .Question 6
24 Jan 2025
84A solid sphere and a hollow sphere of the same mass and of same radius are rolled on an inclined plane. Let the time taken to reach the bottom by the solid sphere and the hollow sphere be and , respectively, thenTap an option to check your answer.
Question 7
4 Apr 2025
21A circular ring and a solid sphere having same radius roll down on an inclined plane from rest without slipping. The ratio of their velocities when reached at the bottom of the plane is where