A 5kg collar is attached to a spring of spring constant 500Nm- 1 . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10cm and released. The maximum speed is

Question

A 5kg collar is attached to a spring of spring constant 500Nm- 1 . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10cm and released. The maximum speed is (A) 1ms- 1 (B) 5ms- 1 (C) 10ms- 1 (D) 20ms- 1

Tardigrade Admin · Accepted Answer

The velocity of the collar executing SHM is given by v(.t.)=-Aω sin(.ω t+φ.) The maximum speed is given by vm=Aω Given, A=10cm=0.1m ω =√(k/m) vm=0.1× √(500/5) vm=1ms- 1 it occurs at x=0

Q. A $5 k g$ collar is attached to a spring of spring constant $500 N m^{- 1}$ . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by $10 c m$ and released. The maximum speed is

$1 m s^{- 1}$

$5 m s^{- 1}$

$10 m s^{- 1}$

$20 m s^{- 1}$

The velocity of the collar executing SHM is given by $v (t) = - A ω s in (ω t + ϕ)$
The maximum speed is given by $v_{m} = A ω$
Given, $A = 10 c m = 0.1 m$
$ω = \frac{k}{m}$
$v_{m} = 0.1 \times \frac{500}{5}$
$v_{m} = 1 m s^{- 1}$
it occurs at $x = 0$

Q. A 5kg collar is attached to a spring of spring constant 500Nm−1 . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10cm and released. The maximum speed is

1ms−1

5ms−1

10ms−1

20ms−1