Question

The amplitude and time period in SHM are 0.8 cm and 0.2 sec respectively. If the initial phase is π/2 radian, then the equation representing SHM is –

• A. y = 0.8 cos 10πt
• B. y = 0.8 sin πt
• C. y = 3 × 0.8 sin πt
• D. y = 0.8 sin 10 πt

Answer 1

Answer: (A)

y = 0.8 cos 10πt

Answer 2

y = a sin(ωt + φ)

= 0.8 sin$\left\{ \frac{2\pi t}{0.2} + \frac{\pi}{2} \right\}$ = 0.8 cos 10πt