Question

A body is executing simple harmonic motion with an angular frequency 2 rad/sec. The velocity of the body at 20 mm displacement. When the amplitude of motion is 60 mm is

• A. 40 mm/sec
• B. 60 mm/sec
• C. 113 mm/sec
• D. 120 mm/sec

Answer 1

Answer: (C)

113 mm/sec

Answer 2

$v = \omega\sqrt{a^{2} - y^{2}} = 2\sqrt{(60)^{2} - (20)^{2}}$ = 113 mm/sec