Question

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RR
27. A wheel of diameter 2m rolls forward half of revolution
without slipping, the magnitude of the displacement of
the point of the wheel initially in contact with the ground​

Answer 1

Answer:

Vertical Displacement :

2 metres

Horizontal Displacement:

3.274 metres

Explanation:

If you are asking the displacement of the point. then, Vertical Displacement

We know that,

m

Let the magnitude of displacement be d

Let the starting and final points be a and b

Then d = a-b

= diameter

= 2 metres

therefore displacement = 2m

Horizontal displacement:

The horizontal displacement is half a circumference : 2πr

= 2π1

= 2π

Using Pythagorean theorem

L^2 = 2^2 + π^2

L = 3.274 m

θ=32.48°

Therefore displacement = 3.274 m

Hope it works...