A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is $$3.92$$ x $$10-3$$ m. What must be the least period of these oscillations, so that the object is not detached from the platform?

Question

Infinity Learn · Accepted Answer

By drawing free body diagram of object during the downward motion at extreme position, for equilibrium of mass $$Mg-R=$$ mA $$(here$$ $$A=Acceleration)For$$ not to detach , R $$=$$ $$0$$  $$mg=mA$$⇒$$mg=ma$$ω$$2$$⇒ω$$=g/a=9.83.92$$×$$10$$−$$3=50$$⇒$$T=2$$πω$$=2$$$$π$$$$50=0.12566sec$$

A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92 x 10^-3 m. What must be the least period of these oscillations, so that the object is not detached from the platform?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92 x 10-3 m. What must be the least period of these oscillations, so that the object is not detached from the platform?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92 x 10^-3 m. What must be the least period of these oscillations, so that the object is not detached from the platform?