Question

M\\ R m As shown above the wheel of mass M = 8.7 kg and radius R = 1 m is mounted to a frictionless horizontal axle. The wheel's mass is distributed such that the shape factor for its moment of inertia is \gamma = 0.61 with R the characteristic length. Mass m = 0.32 kg is suspended from an ideal string that wraps around the wheel. Find the acceleration of m when it is released.

          M\\
R
m
As shown above the wheel of mass M = 8.7 kg and radius R = 1 m is mounted to
a frictionless horizontal axle. The wheel's mass is distributed such that the shape
factor for its moment of inertia is \gamma = 0.61 with R the characteristic length.
Mass m = 0.32 kg is suspended from an ideal string that wraps around the wheel.
Find the acceleration of m when it is released.

M

R
m
As shown above the wheel of mass M = 8.7 kg and radius R = 1 m is mounted to
a frictionless horizontal axle. The wheel's mass is distributed such that the shape
factor for its moment of inertia is γ= 0.61 with R the characteristic length.
Mass m = 0.32 kg is suspended from an ideal string that wraps around the wheel.
Find the acceleration of m when it is released.

Added by Ryan C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/17/2023

Step 1

The moment of inertia of a solid cylinder about its central axis is given by the formula I = (1/2) * M * R^2, where M is the mass of the wheel and R is the radius. Plugging in the given values, we get I = (1/2) * 8.7 kg * (1 m)^2 = 4.35 kg*m^2. Show more…

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Thanks for your feedback!

The answer is =. 57 I get get between . 55 or .59 Thank you for the help M.Y R m7 As shown above the wheel ofmass M=8.7 kg and radius R=1 m is mounted to a frictionless horizontal axle. The wheel's mass is distributed such that the shape factor for its moment of inertia is Y =0.61 with R the characteristic length Mass m =0.32 kg is suspended from an ideal string that wraps around the wheel. Find the acceleration of m when it is released.