- Parent Category: 02 Newtonian Mechanics
- Category: 09 Oscillations
- Created: Thursday, 20 August 2015 15:00
- Last Updated: Thursday, 25 May 2017 15:48
- Published: Friday, 08 April 2016 15:00
- Hits: 3810
The graph of velocity against displacement of a body is shown below.
a) Explain why there are two values of velocity for zero displacement.
b) Explain why there are two values of displacement for zero velocity.
c) Using the maximum value of the velocity, determine the period of oscillation.
[when x =0, v =8(moving right) or -8(moving left),when v =0 , x = -2(at left) or 2(at right),1.6]
22.214.171.124 Suggested Solution:
a) An oscillating body moves through the equilibrium position (zero displacement) alternately
in opposite directions.
b) An oscillating body has zero velocity when its displacement is maximum which occurs at the maximum amplitude positions. Hence, there are 2 values of displacement.
c) vo = xo ω
(8.0) = (2.0) ω
ω = 4.0 rad/s
T = 1.57 s = 1.6 s (to 2 s.f.)
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