A pendulum of length 1cm hangs from an inclined wall. Suppose that this pendulum is released at an initial angle of and it bounces off the wall elastically when it reaches an angle of as shown in the figure. (Take ) The period of this pendulum is (in second)
In right half of oscillation of bob it oscillates so amplitude is
In left half it undergoes only due to the obstruction of wall. It travels only that is .
Using the equation for angular SHM ……( 1 )
Time (t) to travel from 0 to ,substituting in equation ( 1 )
Simple harmonic oscillator takes seconds. So total time period of the oscillation is
where
Therefore, the correct answer is 1.33
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A rod pivoted at one of its end undergoes simple harmonic motion when given a small oscillation. If the pivot is changed such that its moment of inertia decreases to half of its original value, then its new time period is
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