Q13.Oscillatory Motion

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Q13. Oscillatory Motion
2

1. Two identical undamped oscillators have the same
   amplitude of oscillation only if they are started
   with the same

1. displacement x0
2. velocity v0
3. phase
4. ?2 x02 ? v02
5. x02 ? ?2 v02

3
? same A requires same E.

1. displacement x0
2. velocity v0
3. phase
4. ?2 x02 ? v02
5. x02 ? ?2 v02

Different v0 gives different A. Different x0
gives different A. A is indifferent to
phase. Same E gives same A. Sum is meaningless.
4

1. The amplitude of any oscillator can be doubled
   by

1. doubling only the initial displacement
2. doubling only the initial speed
3. doubling the initial displacement and halving
   the initial speed
4. doubling the initial speed and halving the
   initial displacement
5. doubling both the initial displacement and the
   initial speed

5
?

1. doubling only the initial displacement
2. doubling only the initial speed
3. doubling the initial displacement and halving
   the initial speed
4. doubling the initial speed and halving the
   initial displacement
5. doubling both the initial displacement and the
   initial speed

6

1. A certain spring elongates 9 mm when it is
   suspended vertically and a block of mass M is
   hung on it. The natural frequency of this
   mass-spring system is

1. is 0.088 rad/s
2. is 33 rad/s
3. is 200 rad/s
4. is 1140 rad/s
5. cannot be computed unless the value of M is given

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?
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1. A particle is in simple harmonic motion along the
   x axis. The amplitude of the motion is xm.
   When it is at x x1, its kinetic energy is K
   5J and its potential energy (measured with U 0
   at x 0) is U 3J. When it is at x
   1/2xm, the kinetic and potential energies are

1. K 2J and U 6J
2. K 6J and U 2J
3. K 2J and U 6J
4. K 6J and U 2J
5. K 5 and U 3J

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(No Transcript)
10

1. An object on the end of a spring is set into
   oscillation by giving it an initial velocity
   while it is at its equilibrium position. In
   the first trial the initial velocity is v0 and in
   the second it is 4v0. In the second trial

1. the amplitude is half as great and the maximum
   acceleration is twice as great
2. the amplitude is twice as great and the maximum
   acceleration is half as great
3. both the amplitude and the maximum acceleration
   are twice as great
4. both the amplitude and the maximum acceleration
   are four times as great
5. the amplitude is four times as great and the
   maximum acceleration is twice as great

11

1. An object on the end of a spring is set into
   oscillation by giving it an initial velocity
   while it is at its equilibrium position. In
   the first trial the initial velocity is v0 and in
   the second it is 4v0. In the second trial

?
?
12

1. Five hoops are each pivoted at a point on the rim
   and allowed to swing as physical pendulums.
   The masses and radii are

hoop 1 M 150g and R 50 cm
hoop 2 M 200g and R 40 cm
hoop 3 M 250g and R 30 cm
hoop 4 M 300g and R 20 cm
hoop 5 M 350g and R 10 cm
Order the hoops according to the periods of their
motions, smallest to largest.

1. 1, 2, 3, 4, 5
2. 5, 4, 3, 2, 1
3. 1, 2, 3, 5, 4
4. 1, 2, 5, 4, 3
5. 5, 4, 1, 2, 3

13

1. Five hoops are each pivoted at a point on the rim
   and allowed to swing as physical pendulums.
   The masses and radii are

hoop 1 M 150g and R 50 cm
hoop 2 M 200g and R 40 cm
hoop 3 M 250g and R 30 cm
hoop 4 M 300g and R 20 cm
hoop 5 M 350g and R 10 cm
Order the hoops according to the periods of their
motions, smallest to largest.

1. 1, 2, 3, 4, 5
2. 5, 4, 3, 2, 1
3. 1, 2, 3, 5, 4
4. 1, 2, 5, 4, 3
5. 5, 4, 1, 2, 3

R
?
For small ?
?
14

1. Two uniform spheres are pivoted on horizontal
   axes that are tangent to their surfaces. The
   one with the longer period of oscillation is the
   one with

1. the larger mass
2. the smaller mass
3. the larger rotational inertia
4. the smaller rotational inertia
5. the larger radius

15

1. Two uniform spheres are pivoted on horizontal
   axes that are tangent to their surfaces. The
   one with the longer period of oscillation is the
   one with

1. the larger mass
2. the smaller mass
3. the larger rotational inertia
4. the smaller rotational inertia
5. the larger radius

For small ?
?