If time period of small oscillation for given system about its mean position is given as T = 2 π γ k β m then fill value of 2 β 3 γ where β and γ are least possible integer. Disc always rolls purely.

Start Free Mock LoginAlready registered? Login here

Physics - SHM Question with Solution | TestHub

PhysicsSHMCalculation of time periodMedium3 minQB

PhysicsMediumnumerical

If time period of small oscillation for given system about its mean position is given as $T = 2 π \frac{β m}{γ k}$ then fill value of $\frac{3 γ}{2 β}$ where $β$ and $γ$ are least possible integer. Disc always rolls purely.

Answer:

5.00

Solution:

Pure rolling adds $I / R^{2}$ to the effective inertia; write the energy for a small displacement x.

Comparing $T = 2 π β m / γk$ with the result fixes the least integers $β, γ$ .

Then $\frac{3 γ}{2 β} = 5$ .

Answer: 5.00

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

⏱ 3mℹ️ Source: QB

Doubts & Discussion

Loading discussions...