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- The acceleration due to gravity in this problem is taken to be g = 9.80 m/ s2 , unless otherwise specified. What is the length of a pendulum that has a period of 0.500 s?A 0.500-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 3.16 s when the amplitude is 1.00 cm. The mass of the pendulum is now reduced to 0.250 kg. What is the period of oscillation now, when the amplitude is 2.00 cm?Your answer is partially correct. A point on the surface of a solid sphere (radius= 0.954 m) is attached directly to a pivot on the ceiling. The sphere swings back and forth as a physical pendulum with a small amplitude. What is the length of a simple pendulum that has the same period as this physical pendulum? Number i 381.6 Units m
- A pendulum of length L1 has a period T1 = 0.9000 s. The length of the pendulum is adjusted to a new value L2 such that T2 = 1.500 s. What is the ratio L2/L1?Astronauts on a distant planet set up a simple pendulum of length 1.20 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 280 s. What is the magnitude of the acceleration due to gravity on this planet?A 0.95 kg mass hanging from a spring oscillates up and down according to the equation z(t) = (6.34 cm) sin ( (8.53 rad/s)t + π/4 ). What is the spring constant of the spring? Give your answer in units of N/m.
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