Question

A simple pendulum with mass m = 1.2 kg and length L = 2.46 m hangs from the ceiling. It is pulled back to an small angle of θ = 11° from the vertical and released at t = 0.

what is the magnitude of the froce on the pendulum

Answer 1

The magnitude of the force on the simple pendulum at the maximum amplitude is approximately 2.26 N when it is released from an 11° angle.

Step-by-step explanation:

The question is about calculating the magnitude of the force on a simple pendulum that has been pulled back to θ = 11° from the vertical and released.

Assuming the amplitude is sufficiently small for simple harmonic motion (SHM), the restoring force at any point is given by F = -mgsin(θ), where m is the mass, g is the acceleration due to gravity, and θ is the angle from the vertical. Since sin(11°) is approximately 0.1908, the magnitude of the force when the pendulum is released (at the maximum amplitude) is F ≈ 1.2 kg × 9.81 m/s² × 0.1908 ≈ 2.26 N.