Questions
The speed v of a particle moving along a straight line when it is at a distance x from a fixed point on the line is given by . Select the correct alternatives
detailed solution
Correct option is A
The equation resembles equation for velocity n SHM.Comparing with equation of SHM, v2=A2ω2−x2ω2 we get, ω=3, A=4 .T=2πω=2π3 unitMaximum displacement = A = 4 unit. Hence option (B) is wronga=ω2x=9(3)=27 unit. Hence option (C) is wrongDifferentiating v2=144−9x2, we get a α−x . This makes it simple harmonic motion. Hence option (D) is wrong.Similar Questions
A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is . What must be the least period of these oscillations, so that the object is not detached from the platform
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