As per the Work-Energy principle, change in kinetic energy of the body = Work done on the body due to applied force.
For circular motion, force is replaced by torque T = Force x distance from center of rotation
Work done = Torque x angular displacement = T.
So area under E) Applied torque as a function of angular displacement graph will give the final kinetic energy of the body.
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In an experiment, a varying force is applied tangentially for a period of time to a...
A constant force of 40N is applied tangentially to the rim of a wheel which is initially at rest as shown in fig below. The wheel has a moment of inertia of 30kg.m2, radius of circle is 0.2m Find: i. It’s Angular Acceleration ii. It’s angular velocity after 4 seconds iii. The no. of revolutions after 4 seconds iv. Show that the work done on the wheel after 4 seconds equals the Kinetic Energy possessed by the wheel after 4...
A force of 50 N is applied tangentially to the rim of a solid disk of radius 0.18 m. The disk rotates about an axis through its center and perpendicular to its face with a constant angular acceleration of 115 rad/s2. Determine the mass of the disk.
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A pulley, with a rotational inertia of 7.6 × 10-3
kg·m2 about its axle and a radius of 9.3 cm, is acted on
by a force applied tangentially at its rim. The force magnitude
varies in time as F= 0.60t +
0.30t2, with F in newtons and
t in seconds. The pulley is initially at rest. At
t = 1.0 s what are (a) its angular
acceleration and (b) its angular speed?
Question 3 A pulley, with a rotational inertia...
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