Part A = 4.225 * 10^7

Find the radius R of the orbit of a geosynchronous satellite that circles the earth.

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What is the maximum speed v_{max} that the cylinder can move along its circular path without slipping off the turntable?

Part A = 2.26 m/s

Part B = 3.28 m/s

A bucket of mass 1.80 kg is whirled in a vertical circle of radius 1.10 m. At the lowest point of its motion the tension in the rope supporting the bucket is 26.0 N.

Find the speed of the bucket.

How fast must the bucket move at the top of the circle so that the rope does not go slack?

Part A = 6mg

Find T_{b} – T_{t}, the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle.

Part A = 3.21 N

Part B = 31.24 rpm

A conical pendulum is formed by attaching a 0.300 kg ball to a 1.00 m-long string, then allowing the mass to move in a horizontal circle of radius 40.0 cm. The figure (Intro 1 figure) shows that the string traces out the surface of a cone, hence the name.

What is the tension in the string?

What is the ball’s angular velocity, in rpm?