Question

A point p on the rim of a wheel is initially at rest and in contact with the ground 2.5 m 5 m 10 m none of these. 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.

Answer 1

Answer:

A point p on the rim of a wheel is initially at rest and in contact with the ground 2.5 m 5 m 10 m none of these. 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.

Answer 2

the displacement of the point  P if the wheel rolls  forward through half a revolution is 5√(π²+4) m

Explanation:

Given the radius of the wheel R = 5m

As shown in the figure, the point P will reach at P'after half a revolution

The distance covered on the ground by the wheel due to rolling after half a revolution will be πR

The displacement of the point P will be PP'

In right angled triangle PQP'

$PP'^2=PQ^2+QP'^2$

$\implies PP'^2=(\pi R)^2+(2R)^2$

$\implies PP'^2=R^2(\pi^2+4)$

$\implies PP'=R\sqrt{\pi^2+4}$

Putting the value of R = 5m, we get the displacement of point P

$=5\sqrt{\pi^2+4}$ m

Hope this answer is helpful.

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