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For each of the following scenarios, indicate whether the oscillation period of the pendulum becomes shorter, longer or remains unchanged. Note: you must clearly mark your answer (for example, highlight it in red) from the multiple-choice list below and you must provide an explanation of your answer to receive credit. Review: course textbook (section 9.1).
a. The pendulum is transported to another planet where the acceleration due to gravity is smaller.
i. Shorter
ii. Longer
iii. Unchanged
Explanation:

b. The mass of the pendulum increases.
i. Shorter
ii. Longer
iii. Unchanged
Explanation:

c. The length of the pendulum decreases (i.e., the pendulum arm is shortened).
i. Shorter
ii. Longer
iii. Unchanged
Explanation:

d. The distance the pendulum travels or how far it travels from side to side (i.e., the amplitude of oscillation) is reduced.
i. Shorter
ii. Longer
iii. Unchanged
Explanation:

2. Consider a block attached to a spring shown in Figure 9.1.5 of the textbook.
For each of the following scenarios, indicate whether the oscillation period of the block becomes shorter, longer or remains unchanged. Note: you must clearly mark your answer (for example, highlight it in red) from the multiple-choice list below and you must provide an explanation of your answer to receive credit. Review: course textbook (section 9.1).
a. The mass of the block is reduced.
i. Shorter
ii. Longer
iii. Unchanged
Explanation:

b. The spring – mass device is transported to the Moon, where the acceleration due to gravity is weaker.
i. Shorter
ii. Longer
iii. Unchanged
Explanation:

c. The stiffness of the spring is reduced (i.e., the spring constant is lowered).
i. Shorter
ii. Longer
iii. Unchanged
Explanation:

d. The amplitude of the oscillation is increased (i.e., the distance the mass travels up and down is increased).
i. Shorter
ii. Longer
iii. Unchanged
Explanation:

3. Consider the frequency of the sound pro

  • Physics - ,

    T^2 = 4*pi^2(L/g)

    1a. Longer. A smaller g increases the ratio of L/g which increases the
    period.

    1b. Unchanged. The mass is not included in the Eq.

    1c. Shorter. The ratio of L/g decreases which decreases the period.

    1d. Unchanged. The ratio of L/g remains the same. Therefore, the period remains the same.

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