Home
Class 11
PHYSICS
A sphere is rolling without slipping on ...

A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then

A

`vacV_C - vacV_A = 2 (vacV_B - vac_C)`

B

`vacV_C - vacV_B = vac_B - vac_A`

C

`|vacV_C - vac_A| = 2|vacV_B - vac_C|`

D

`|vacV_C - vacV_A| = 4 |vacV_B|`

Text Solution

Verified by Experts

The correct Answer is:
B, C
(b,c)
`If vecV_0` is the velocity of centre of the sphere, then
`vecV_C = 2vecV_0 , vec_B = vecV_0 and vec_A = 0`
`:. vecV_C - vecV_B = 2vecV_0 - vecV_0 = vecV_0`
`vecV_B - vecV_A = vecV_0 - vec0 = vecV_0`
`:. vecV_C - vecV_B = vecV_B - vecV_A`
(b) is the correct opton.
Now, `|vecV_C - vecV_A |=|2vecV_0 - 0 |=|2vecV_0 |=2|vecV_0|`
and `|vecV_C - vecV_A| =2|vecV_B - vecV_C|`
(c ) is the correct option.
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQs with one correct answer|1 Videos

  • MOTION

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|63 Videos

  • SIMPLE HARMONIC MOTION

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|69 Videos

Similar Questions

Explore conceptually related problems

Rolling (with and without slipping) on horizontal and inclined surface

When a hollow sphere is rolling without slipping on a rough horizontal surface then the percentage of its total K.E. which is translational is

Assertion: A disc rolls without slipping on a horizontal surface and the linear speed of its centre of mass is v. The rotational speed of the particles on its rim at the top of the disc will be 2v. Reason: The disc rolls as if it is rotating about the point of contact with the horizontal surface.

A solid sphere is rolling without slipping on a horizontal plane. The ratio of its rotational kinetic energy and translational kinetic energy is

A 1 Kg solid sphere rolls without slipping on a rough horizontal suface as shown in figure. Select incorrect alternative

A solid sphere of mass m= 500gm is rolling without slipping on a horizontal surface. Find kinetic energy of a sphere if velocity of centre of mass is 5 cm/sec

A uniform sphere of radius R has a spherical cavity of radius (R)/(2) (see figure). Mass of the sphere with cavity is M. The sphere is rolling without sliding on a rough horizontal floor [the line joining the centre of sphere to the centre of the cavity remains in vertical plane]. When the centre of the cavity is at lowest position, the centre of the sphere has horizontal velocity V. Find: (a) The kinetic energy of the sphere at this moment. (b) The velocity of the centre of mass at this moment. (c) The maximum permissible value of V ( in the position shown ) which allows the sphere to roll without bouncing

A disc rolls without slipping on a horizontal surface such that its velocity of center of the mass is v . Find the velocity of points A , B , C and D .

A wheel rolls without slipping on a horizontal surface such that its velocity of center of mass is v . The velocity of a particle at the highest point of the rim is

A solid sphere rolls without slipping along a horizontal surface. What percentage of its total kinetic energy is rotational kinetic energy?