Question

A trolley of mass 3 kg, as shown in figure, is connected to two identical springs, each of spring constant 600 N m–1. If the trolley is displaced from its equilibrium position by 5 cm and released, the maximum speed of the trolley is

• A. 0.5 m s–1
• B. 1 m s–1
• C. 2 m s–1
• D. 3 m s–1

Answer 1

Answer: (B)

1 m s–1

Answer 2

In the given figure, two identical springs are connected in parallel

$\therefore$ The effective spring constant is

$\mathrm { k } _ { \text {eff } } = 2 \mathrm { k } = 2 \times 600 \mathrm { Nm } ^ { - 1 } = 1200 \mathrm { Nm } ^ { - 1 }$

Here, Amplitude $\mathrm { A } = 5 \mathrm {~cm} = 0.05 \mathrm {~m} , \mathrm {~m} = 3 \mathrm {~kg}$

Angular frequency of oscillation

Maximum speed

$= 1 \mathrm {~ms} ^ { - 1 }$