Simple harmonic motion and its equationsEdexcel A-Level Physics: Mind map

Exam questions on Simple harmonic motion and its equations

1. A trolley of mass 0.40 kg is attached to a horizontal spring of spring constant 25 N m⁻¹. The other end of the spring is fixed. The trolley is pulled 0.060 m from its equilibrium position along a frictionless track and released. It then oscillates with simple harmonic motion.
   Calculate the maximum speed of the trolley.2 marks
2. A simple pendulum consists of a small dense bob on a light string. The distance from the pivot to the centre of the bob is 1.50 m. The bob is displaced through a small angle and released. The gravitational field strength is 9.81 N kg⁻¹.
   Calculate the period and the frequency of the pendulum.2 marks
3. A loudspeaker cone vibrates with simple harmonic motion. Its displacement x from the equilibrium position is given by x = A cos ωt, where the amplitude A is 0.12 m and the frequency is 2.5 Hz. Time t = 0 is when the cone is at its maximum positive displacement.
   Calculate the angular frequency of the vibration and the displacement of the cone 0.050 s after t = 0.3 marks