Question Detail

PHY 104 PHY 104 Past Questions Objective Question

Question

A 50 g mass vibrates in SHM at the end of a spring. The amplitude of the motion is 12 cm and the period is 0.1 minutes. What is the maximum speed of the mass.
Options
A 1.256 m/s
Correct Answer
B 2.512 m/s
C 0.1256 m/s
D 3.768 m/s
Correct Answer

Option A is the correct answer.

Detailed Explanation

The maximum speed in SHM is v_max = ωA. The period T = 0.1 minutes = 6 seconds. Angular frequency ω = 2π/T = 2π/6 = π/3 rad/s. Amplitude A = 12 cm = 0.12 m. v_max = (π/3) * 0.12 = 0.1256 m/s. Option C.

Hint

Use v_max = ωA = (2π/T)A.

Question Info