Question

A 300-g apple is placed on a horizontal platform that can vibrate in the vertical direction with a fixed amplitude of 1.7 cm

Determine the maximum frequency of the platform's vibration for the apple to remain in contact with the platform? (Hint: Think about how the platform needs to move to lose contact with the apple.)

Express your answer with the appropriate units.

Answer 1

The net force acting in the vertical direction is, mg -N ma When the apple just loose the contact then we have, N 0. So the above equation becomes, mg ma max amaxg Ag A 2Tf f 2 VA = 9.8 m/s 27 1.7x102 m 1 - 3.82 Hz