-
A point mass is executing simple harmonic motion with an amplitude of 10 mm and frequency of 4 Hz. The maximum acceleration (m/s2) of the mass is _______
-
- 6.32 m/s2
- 61.32 m/s2
- 1.32 m/s2
- 10.32 m/s2
Correct Option: A
Given A = 10 mm = 0.01 m
f = 4 Hz
x = A cos ωt
| v = | = -Aω sin ωt | |
| dt |
| = a = -Aω2 cos ωt | ||
| dt2 |
For maximum, t = 0
∴ a = Aω2 = 0.01(2πf)2
∵ ω = 2πf = 0.01(2 × π × 4)2 = 6.32 m/s2
