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Δθ1 = 0.0100 rad Δθ3 = 0.0300 rad Δt1 = Δt2 = Δt3 = 2.00 s

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Determine the following:

1			Angular velocity during the time Δt1 Need a Hint?
2			Angular velocity during the time Δt3 Need a Hint?
3			Angular acceleration during the time Δt2 Need a Hint?
4			Angular distance traveled by the disk during the time Δt2 Need a Hint?

A particle is traveling in a circular orbit and its angular position as a function of time is given by

5			The angular position at t = 2.00 s Need a Hint?
6			The angular speed at t = 2.00 s Need a Hint?
7			The angular acceleration at t = 2.00 s Need a Hint?

R = 0.200 m r = 1.00 cm h = 2.00 m M1 = 10.0 kg M2 = 0.100 kg g = 9.80 m/s2 t = 10.0 s

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8			The linear acceleration of M1 Need a Hint?
9			The angular acceleration of the wheel and axle Need a Hint?
10			The linear acceleration of M2 Need a Hint?
11			The linear speed of M1 after a time of 5.00 s Need a Hint?
12			The angular speed of the wheel and axle after a time of 5.00 s Need a Hint?
13			The linear speed of M2 after a time of 5.00 s Need a Hint?
14			The distance M1 falls during the first 5.00 s of travel Need a Hint?
15			The number of revolutions made by the wheel and axle during the first 5.00 s of travel Need a Hint?
16			The distance M2 is lifted during the first 5.00 s of travel Need a Hint?

Consider an object initially traveling in a circle of radius r_o with a speed of v_o. Determine expressions for the following in terms of r_o and v_o.

17			Central acceleration of the object when it is traveling with a speed vo in a circle of radius ro Need a Hint?
18			Central acceleration of the object if the radius decreases by a factor of two and the speed stays the same Need a Hint?
19			Central acceleration of the object if the speed doubles and the radius stays the same Need a Hint?
20			Central acceleration of the object if the speed decreases by a factor of two and the radius doubles Need a Hint?

An object of mass M is tied to a cord and swings in a vertical circle of radius r. In general, the speed of the object will vary, and we know its value at the five labeled positions.

Given: r = 1.00 m M = 0.500 kg θ = 30.0° γ = 60.0° g = 9.80 m/s2

v1 = 6.00 m/s v2 = 5.50 m/s v3 = 5.00 m/s v4 = 4.50 m/s v5 = 4.00 m/s

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21			Tension in the cord for position 1 Need a Hint?
22			Tension in the cord for position 2 Need a Hint?
23			Tension in the cord for position 3 Need a Hint?
24			Tension in the cord for position 4 Need a Hint?
25			Tension in the cord for position 5 Need a Hint?

Consider three planets (earth, x and y) each with an artificial satellite of mass m_s orbiting at a radius r.

26			Mass of each or the respective satellites on planets x and y Need a Hint?
27			Acceleration due to gravity on planet x in terms of ge(Re) Need a Hint?
28			Weight of each of the respective satellites on planets x and y in terms of ms and ge(Re) Need a Hint?
29			Central acceleration of each of the satellites in their respective orbits around planets x and y in terms of ge(r) Need a Hint?
30			Acceleration due to gravity experienced by each of the satellites in their respective orbits around planet x and y in terms of ge(r) Need a Hint?
31			Force of attraction each of the respective satellites experiences as it orbits planet x and y in terms of ms and g(r) Need a Hint?
32			Radius of planet y in terms of Re Need a Hint?
33			Orbital speed of each of the respective satellites about the planets x and y in terms of ve(r) Need a Hint?
34			Period of each of the respective satellites about the planets x and y in terms of Te(r) Need a Hint?