Physics - Rotation Question with Solution | TestHub

PhysicsRotationMiscellaneousMedium3 minQB
PhysicsMediumsingle choice

The two-gear combination shown in the drawing is being used to lift the load L with a constant upward speed of 2.50 m/s. The rope that is attached to the load is being wound onto a cylinder behind the big gear. The depth of the teeth of gears is negligible compared to the radii. Determine the angular velocity (magnitude) of the smaller gear.

CT44 m3 diagram

Options:

Answer:
B
Solution:

The big cylinder rotates at ω_big=v/0.30=2.50/0.30.

At the gear contact, ω_small·0.17=ω_big·0.30.

Thus ω_small=250/17 rad/s.

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous
⏱ 3mℹ️ Source: QB

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