Physics help, circular motion and gravity

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SUMMARY

This discussion focuses on two physics problems involving circular motion and gravity. The first problem calculates the new rotation period of a star with a mass of 1.830×1031 kg when its diameter shrinks to 0.850 times its original size, assuming uniform mass distribution. The second problem involves a frictionless pulley system in a gravitational field of 9.81 m/s2, analyzing the relationships between tensions T1, T2, and T3, as well as the acceleration of masses m1 and M2. Participants emphasize adherence to forum rules for effective assistance.

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  • Understanding of circular motion principles
  • Knowledge of gravitational forces and tension in pulley systems
  • Familiarity with uniform mass distribution concepts
  • Basic algebra for solving physics equations
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  • Research the effects of mass distribution on rotational dynamics
  • Study the equations of motion for pulleys in gravitational fields
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Students and educators in physics, particularly those focusing on mechanics, as well as anyone interested in solving complex problems related to circular motion and gravitational systems.

katiegerster
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anything is appreciated!

1. The mass of a star is 1.830×1031 kg and it performs one rotation in 37.30 days. Find its new period (in days) if the diameter suddenly shrinks to 0.850 times its present size. Assume a uniform mass distribution before and after.

2. A pulley with mass Mp and a radius Rp is attached to the ceiling, in a gravity field of 9.81 m/s2 and rotates with no friction about its pivot. Mass M2 is larger than mass m1. The quantities Tn and g are magnitudes. Choices: true, false, greater than, less than, or equal to.

The C.M. of Mp+M1+M2 does not accelerate.
T1 is ... T2
m1g + M2g + Mpg is ... T3.
T3 is ... T1 + T2
T2 is ... M2g.
The magnitude of the acceleration of M2 is ... that of m1.
 
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