Physics 9702 · AS & A Level · Simple harmonic oscillations
Simple harmonic oscillations — practice question
A spring is attached vertically to a fixed support at one end. A mass $M$ is attached to the other end of the spring, as shown in Fig. 3.1. The mass is pulled downward and then let go. It then undergoes simple harmonic motion. Fig. 3.2 shows how the spring length $L$ varies with time $t$.
(a(i))[1]
State one time when the mass has maximum speed.
(a(ii))[1]
State one time when the spring has maximum elastic potential energy.
(b(i))[2]
Use the information in Fig. 3.2 to find the angular frequency $\omega$ of the mass's motion.
(b(ii))[2]
Use the data in Fig. 3.2 to find the maximum speed.
(b(iii))[2]
Use the data in Fig. 3.2 to find the magnitude of the maximum acceleration.
(c)[2]
The mass $M$ is now supported by two springs, each identical to the one in Fig. 3.1, as shown in Fig. 3.3. Suggest and explain what change, if any, occurs in the period of oscillation of the mass. A numerical value is not needed.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Any one of $0.10\,$s, $0.30\,$s, $0.50\,$s, $0.70\,$s or $0.90\,$s” …