Period, frequency or amplitude from the velocities at two displacements
This type of question, asked 5 times: May 2021 S1, 9 May 2023 S2, 10 May 2023 S2, 16 May 2023 S1, 19 Apr 2026 S2. All 5 questions below, oldest first.
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Question 1
May 2021 S1
11
A particle executing SHM has velocities v1 and v2 at distances x1 and x2 respectively from the mean position. Its time-period is
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Question 2
9 May 2023 S2
26
A particle is executing a linear simple harmonic motion. Let 'V1' and 'V2' are its speed at distance 'x1' and 'x2' from the equilibrium position. The amplitude of oscillation is
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Question 3
10 May 2023 S2
15
A particle performs linear S.H.M. When the displacement of the particle from mean position is 3 cm and 4 cm, corresponding velocities are 8 cm/s and 6 cm/s respectively. Its periodic time is
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Question 4
16 May 2023 S1
13
A particle executing S.H.M. has velocities 'V1' and 'V2' at distances 'x1' and 'x2' respectively, from the mean position. Its frequency is
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Question 5
19 Apr 2026 S2
119
A particle executing linear S.H.M. has velocities V1 and V2 at distance x1 and x2 respectively, from the mean position, its angular velocity is