Question

A rigid rod of length 1 m is resting at an angle 45° as shown in the figure. The end P is dragged with a velocity of U = 5 m/s to the right. At the instant shown, the magnitude of the velocity V (in m/s) of point Q as it moves along the wall without losing contact is

Options :

  1. 5

  2. 6

  3. 8

  4. 10

Show Answer

Answer :

5

Solution :

OP = 1sin45° = 1/√2

OQ = 1cos45° = 1/√2

VP = rω = OP x ω

5 = ω/√2    ---- i

V= OQ x ω

V= ω/√2 ----- ii

by eqn. i and ii

VQ = 5m/s

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