A demonstration is set up to show the relationship between circular motion and simple harmonic motion (SHM). A block is placed on a turntable at a distance of 0.35 m0.35\text{ m}0.35 m from its centre.
The turntable rotates with a constant angular speed of 1.5 rad s−11.5\text{ rad s}^{-1}1.5 rad s−1 and the block does not slip.
Calculate the time taken for the turntable to complete one revolution.
State the direction of the resultant force acting on the block as it rotates.
The mass of the block is 0.18 kg0.18\text{ kg}0.18 kg. Calculate the magnitude of the resultant force on the block.
The angular speed of the turntable is adjusted so that the block completes one rotation every 2.20 s2.20\text{ s}2.20 s. A simple pendulum suspended above the centre of the turntable is set up to swing in phase with the horizontal projection of the block's movement. Calculate the length of this simple pendulum.
