A wheel of radius r = 32 cm and rotational inertia about the axis of I = 0.08 kg.m2 fixed on a frictionless inclined plane that makes angle = 30° with the horizontal. An m = 2.6 kg block is held on the plane by a massless string wrapped around the wheel. A force of magnitude F = 6.1 N is applied to the block in the direction shown in the figure below. Calculate the magnitude and direction of the angular %3D %3D acceleration of the wheel?

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Chapter10: Fixed-axis Rotation
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A wheel of radius r = 32 cm and rotational inertia about the axis of I = 0.08 kg.m2
fixed on a frictionless inclined plane that makes angle = 30° with the horizontal.
An m = 2.6 kg block is held on the plane by a massless string wrapped around
the wheel. A force of magnitude F = 6.1 N is applied to the block in the direction
shown in the figure below. Calculate the magnitude and direction of the angular
acceleration of the wheel?
[Recommended time : 5-8 minutes]
Transcribed Image Text:A wheel of radius r = 32 cm and rotational inertia about the axis of I = 0.08 kg.m2 fixed on a frictionless inclined plane that makes angle = 30° with the horizontal. An m = 2.6 kg block is held on the plane by a massless string wrapped around the wheel. A force of magnitude F = 6.1 N is applied to the block in the direction shown in the figure below. Calculate the magnitude and direction of the angular acceleration of the wheel? [Recommended time : 5-8 minutes]
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