Home
Class 11
PHYSICS
A point P on the rim of wheel is intiall...

A point P on the rim of wheel is intially at rest and in contact with the ground. Find the displacement of the point P if the radius of the wheel is 5 m and the wheel rolls forward through half a revolution

A

5m

B

10m

C

2.5m

D

`5 (sqrt((pi^(2) + 4)))m`

Text Solution

Verified by Experts

The correct Answer is:
D

Displacement= `sqrt((pi R)^(2) + (2R)^(2))= R sqrt(pi^(2) + 4)= 5 sqrt(pi^(2) + 4m)`
Promotional Banner

Similar Questions

Explore conceptually related problems

What is the displacement of the point of a wheel initially in contact with the ground when the wheel rolls forward half a revolution? Take the radius of the wheel as R and the x -axis as the forward direction?

The displacement of the point of a wheel initially in contact with the ground when the wheel rolls forward quarter revolution where perimeter of the wheel is 4pi m , is (Assume the forward direction as x-axis)

A wheel makes 1000 revolutions in covering a distance of 88km. Find the radius of the wheel.

A flywheel of diameter 1 m is rotating at 600 r.p.m., the acceleration of a point on the rim of the fly wheel is

A wheel makes 4000 revolutions in moving a distance of 44 km. Find the radius of the wheel.

The angular velocity of a wheel is 70 rad//sec . If the radius of the wheel is 0.5 m , then linear velocity of the wheel is

A wheel of radius 1 m rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially on contact with the ground is.

A wheel is released on a rough horizontal floor after imparting it an initial horizontal velocity v_(0) and angular velocity omega_(0) as shown in the figure below. Point O is the centre of mass of the wheel and point P is its instantaneous point of contact with the groundl. The radius of wheel is r and its radius of gyration about O is k . Coefficient of friction between wheel and ground is mu . A is a fixed point on the ground. If the wheel comes to permanent rest after sometimes, then :