A thin ring has mass of 0.25 Kg and radius 0.5m, calculate its moment of inertia about:
a) An axis passing through its centre and perpendicular to its plane
b) An axis passing through a point on its circumference and perpendicular to its plane.
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Answer:
◆ Answer -
(A) 0.0625 kg/m^2
● Explanation -
# Given -
m = 0.25 kg
r = 0.5 m
# Solution -
Moment of inertia about an axis passing through center of the ring and perpendicular to its plane is given by formula -
I = mr^2
I = 0.25 × 0.5^2
I = 0.0625 kg/m^2
Hence, moment of inertia about an axis passing through center of the ring and perpendicular to its plane is 0.0625 kg/m^2.
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