Astronauts use a uniform rod with a mass of 10.6 kg and a length of 2 meters to determine the acceleration due to gravity on Planet Todd? To do this, they attach the rod to a pivot point that is 0.3 meters from one end of the rod and then allow the rod to hang vertically. From its equilibrium position, the rod is displaced 7.9 degrees and released. The time for 5 oscillations is found to be 15.5 seconds. What is the acceleration due to gravity on the planet?

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Astronauts use a uniform rod with a mass of 10.6 kg and a length of 2 meters to
determine the acceleration due to gravity on Planet Todd? To do this, they attach
the rod to a pivot point that is 0.3 meters from one end of the rod and then allow
the rod to hang vertically. From its equilibrium position, the rod is displaced 7.9
degrees and released. The time for 5 oscillations is found to be 15.5 seconds.
What is the acceleration due to gravity on the planet?
m/s2
Transcribed Image Text:Astronauts use a uniform rod with a mass of 10.6 kg and a length of 2 meters to determine the acceleration due to gravity on Planet Todd? To do this, they attach the rod to a pivot point that is 0.3 meters from one end of the rod and then allow the rod to hang vertically. From its equilibrium position, the rod is displaced 7.9 degrees and released. The time for 5 oscillations is found to be 15.5 seconds. What is the acceleration due to gravity on the planet? m/s2
A particle of mass 23.3 kg is attached a spring with a force constant of 100 N/m.
It is oscillating on a horizontal frictionless surface with an amplitude of 2.8 m. A
17.3 kg object is dropped vertically on top of the 23.3 kg object as it passes
through its equilibrium point. The two objects stick together. (a) What is the
amplitude of the vibrating system after the second mass is added? (b) What is the
ratio of the period of the new system to the original system? (c) What is the
change in energy of the system as a result of the second mass being added?
а. А
m
Tnew
b.
Torig
c. ΔΕ
J
Transcribed Image Text:A particle of mass 23.3 kg is attached a spring with a force constant of 100 N/m. It is oscillating on a horizontal frictionless surface with an amplitude of 2.8 m. A 17.3 kg object is dropped vertically on top of the 23.3 kg object as it passes through its equilibrium point. The two objects stick together. (a) What is the amplitude of the vibrating system after the second mass is added? (b) What is the ratio of the period of the new system to the original system? (c) What is the change in energy of the system as a result of the second mass being added? а. А m Tnew b. Torig c. ΔΕ J
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