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Physics - SHM Question with Solution | TestHub

PhysicsSHMCalculation of time periodMedium2 minQB

PhysicsMediuminteger

A sphere of mass M and radius R is on a smooth fixed inclined plane in equilibrium as shown in the figure. If now the sphere is displaced through a small distance along the plane, what will be the angular frequency (in radian/sec) of the resulting SHM ? (Given $k = 4 M /3$ )

Answer:

Solution:

Displacing the sphere by $x$ along the plane stretches the spring by $x cos 3 0^{\circ}$ .

Restoring force $= k x cos^{2} 3 0^{\circ} = \frac{3 k x}{4}$ ; the plane is smooth, so the sphere only translates.

$ω = \frac{3 k}{4 M} = \frac{3}{4 M} \cdot \frac{4 M}{3} = 1$ rad/s

Stream:JEESubject:PhysicsTopic:SHMSubtopic:Calculation of time period

⏱ 2mℹ️ Source: QB

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