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Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.Vertical circular motionMedium2 minQB

PhysicsMediuminteger

Passage / Comprehension

A 0.5 kg block is placed near a spring of stiffness 1000 N/m, initially compressed and then released. The spring is not attached to the block. The circular track radius is R = 10 cm. Take $g = 10 m/ s^{2}$ . See the common diagram.

Source diagram for Phase II Advanced shared passage group 3

Find the minimum compression in spring (in cm) so that block completes vertical circular motion.

Answer:

Solution:

To complete the vertical circle, the minimum speed at the top is

$v_{B}^{2} = g R$

The bottom speed must supply the 2R climb as well.

$v_{C}^{2} = v_{B}^{2} + 4 g R = 5 g R$

Initial spring energy provides this speed.

$\frac{1}{2} k x^{2} = \frac{1}{2} m v_{C}^{2} = \frac{1}{2} m (5 g R)$

$x = \frac{0.5 \cdot 5 \cdot 10 \cdot 0.1}{1000} = 0.05 m = 5 cm$

Stream:JEESubject:PhysicsTopic:W.E.P.Subtopic:Vertical circular motion

⏱ 2mℹ️ Source: QB

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