GATE ME 2017 Set 1 — Question 14
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Engineering Mechanics → Dynamics → Kinematics of Rigid Bodies
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Question
A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by , where is time. The kinetic energy of the particle at time is
Correct answer
(C) 16
Solution
Given:
Mass
The velocity components in polar coordinates are:
Radial velocity,
Transverse velocity, The magnitude of velocity squared is:
Kinetic Energy () is given by:
At :
.
Mass
The velocity components in polar coordinates are:
Radial velocity,
Transverse velocity, The magnitude of velocity squared is:
Kinetic Energy () is given by:
At :
.
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