A particle executing a SHM has a maximum displacement of 2 cm its acceleration at a distance of 0.5 cm from its mean position is 2 cm/s², What will be its velocity when it is at a distance of 1 cm from its mean position?

(a)

4 cm/s

(b)

2\(\sqrt{3}\)

(c)

11.2 cm/s

(d)

4\(\sqrt{7}\)

A body of mass 1 kg is executing SHM given by, x = 4 Cos\(\left( 100t+\frac { \pi }{ 2 } \right) \)cm. Whatis the velocity?

(a)

200 sin t(100 t+\(\frac{\pi}{2}\))

(b)

-200 sin t(100 t+\(\frac{\pi}{2}\))

(c)

400 sin t(100 t+\(\frac{\pi}{2}\))

(d)

-400 sin t(100 t+\(\frac{\pi}{2}\))

The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with S.H.M with an angular frequency of 200 rad/min. Then the maximum speed will be _________.

(a)

50 m/min

(b)

100 m/min

(c)

150 m/min

(d)

200 m/min

A spring balance has a scale that reads from o to 50 kg the length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. Then the weight of the body will be ______________.

(a)

200 N

(b)

208 N

(c)

219.3 N

(d)

272.1 N

A small body of mass 50 g is undergoing SHM of amplitude 100 cm and period 0.2 s. What is the maximum value of the force acting on the body?

(a)

86.4 N

(b)

98.5 N

(c)

102.1 N

(d)

71.2 N