Question

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrium position by a distance x towards right, find the restoring force.

(a) Write the displacement equation representing the following conditions obtained for a simple harmonic motion: Amplitude = 0.01m, Frequency = 600Hz, Initial phase = π/6 (b) All trigonometric functions are periodic, but only sine or cosine functions are used to define SHM. Why?

A particle P executes uniform circular motion with angular velocity ω as shown in the figure. Its displacement is given by: x(t) = A cos (ωt + φ). Obtain the expression for its velocity and acceleration

Which among the given functions represent SHM: a) sin²ωt b) sin ωt + cos ωt sin ωt c) sinωt+cos2ωt Justify your answer.