Question 22 of 194
For particle revolving round the centre with radius of circular path and regular velocity , as shown in below figure, the projection of on the -axis at time is
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Answer: (B)
As can be seen from the diagram, the initial phase of the particle is given by
The equation of motion of the particle at its initial position at time can be written as
where, is the angular displacement of the particle at time .
Since, the position of the particle at a later instant of time always lags behind its initial position at time , the equation of motion of the particle at any instant of time is given by
Substitute the values of the known parameters into equation (2) to obtain the required expression
The equation of motion of the particle at its initial position at time can be written as
where, is the angular displacement of the particle at time .
Since, the position of the particle at a later instant of time always lags behind its initial position at time , the equation of motion of the particle at any instant of time is given by
Substitute the values of the known parameters into equation (2) to obtain the required expression
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