Periodic Motion

1. A grandfather clock runs too slow. Which of the

following could you do to correct this?

• A. remove some mass from the bob

• B. increase the amplitude

• C. move the bob down

• D. move the bob up

A mass m hanging from a spring of force constant k

oscillates with a period To. If the same mass were hung from a

spring with force constant 3 k, what would be its period of oscillation?

• A. 3To

• B. √3To

• C. To

• D. To/ √3

• E. To/3

An object with a mass M is suspended from an elastic spring with a spring constant k. The object oscillates with period T on the surface of Earth. If the oscillating system is moved to the surface of Moon, how it will change the period of oscillations? Acceleration due to gravity on moon= 1.6 m/s2

• A. The period is increased by factor √6

• B. The period is increased by factor four

• C. The period is decreased by factor √6

• D. The period is decreased by factor four

• E. The period remains the same

An object with a mass M is suspended from an elastic spring with a spring constant k. The object oscillates with period T. If the mass of oscillations is quadrupled, how it will change the period of oscillations?

• A. The period is increased by factor two

• B. The period is increased by factor four

• C. The period is decreased by factor two

• D. The period is decreased by factor four

• E. The period remains the same

A grandfather clock uses the swing of a large pendulum to measure time. Suppose that such a clock is transported to a small planet where the local acceleration due to gravity is 1/9 that on Earth. How many Earth hours would it take for the clock to complete 12 hours as measured by the hands of the clock?

• A. 12

• B. 36

• C. 4

• D. 4/3

• E. 72

Tags

NGSS.HS-PS2-4