A uniform solid cylinder of mass m and radius R is in equilibrium on an inclined plane by the action of a light spring of stiffness k (gravity and reaction force are acting on it). If the angle of inc

Question

A uniform solid cylinder of mass m and radius R is in equilibrium on an inclined plane by the action of a light spring of stiffness k (gravity and reaction force are acting on it). If the angle of inclination of the plane is $ϕ$ , then angular frequency (in rad/sec) of small oscillations of the cylinder is (no slipping anywhere) $(m = 24 kg, K = 9 N / m)$ . Write your answer in nearest possible integer.

Answer:

1

Solution:

Rolling without slipping: $ω = \frac{k}{m + I / R ^{2}} = \frac{k}{3 m /2}$ .

$ω = \frac{2 \times 9}{3 \times 24} = 0.25 = 0.5 rad / s$

Nearest integer: 1.

Answer: 1

TestHub · Accepted Answer

Rolling without slipping: ω = m + I / R 2 k ​ ​ = 3 m /2 k ​ ​ . ω = 3 × 24 2 × 9 ​ ​ = 0.25 ​ = 0.5 rad / s Nearest integer: 1. Answer: 1

Physics - SHM Question with Solution | TestHub

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