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Moment of Inertia and Torque

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1 To loosen a nut on an engine a torque of 48N m is required. What is the minimum force with which this
can be achieved if the length of the spanner (wrench) used is 23 cm? 2 a Determine the torque provided by the couple shown in Figure 14.4 if the force is 42 N, r = 8.3 cm and
the angle 9 is 53°.
b Sketch a graph to show how the torque varies when the object moves from horizontal to vertical
(assume that the directions of the forces do not change). 3 Consider Figure 14.4. Does the magnitude of the torque provided by the couple depend on the position of
the axis of rotation? Explain your answer.

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5 Estimate the moment of inertia of the Earth in its orbit around the Sun (mass of Earth = 6 x 1024kg,
distance to Sun = 150 Mkm).
6 a What is the moment of inertia of a spinning golf ball of mass 46g and radius 21 mm?
b What assumption did you make in answering (a)?

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(5) . Moment of Inertial ( I) = MR2 = (6x 102# kq) (150 Mkm)2
1.35x10 Kq-m
[ : 1 MKm = 1 x10 x10 m = Ixlon
(@ . Moment of inertion of cusphere ( I) = 2 MR2
= 2 x ( 46 9 ) x ( 21 mm ) 2
[M =...

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