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Spotlight S rotates in a horizontal plan...

Spotlight S rotates in a horizontal plane with constant angular velocity of 0.1 rad/s The spot of light P moves along the wall at a distance of 3 m The velocity of the spot P when θ = 45 is m/s (see - fig. ) is ……….. ` m//s `

Text Solution

Verified by Experts

The correct Answer is:
`0.6`
` x= 3 tan beta`
`rArr v = (dx)/(dt) = 3 sec^2 beta (dbeta//dt)`
`rArr v_(beta=45^@) = 3(sec^245^@) xx 0.1 = 0.6 ms^(-1)`
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