Centripetal force in centrifugal clutches and vehicle stability

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1. a) What variable factors affect the size of the centripetal acceleration for a body moving in a curved path?
b) What additional variable factor affects the centripetal force causing the acceleration?
c) Write down the two formulas for centripetal (or centrifugal) force which you might use for finding this force for a cornering vehicle on a piece of rotating machinery.

2. A small truck of mass 5 tonnes travels round a curve in a horizontal road at 72 km/h. If the radius of the curve is 50m calculate the centrifugal force acting. Assuming the coefficient of friction between the tyres and the road is 0.6 will the truck skid sideways at this speed?

If the truck is loaded with a high load so that the combined center of gravity is 1.2m above the road surface and if its track is 1.8m, at what speed will it tip over when negotiating the same bend and assuming it does not skid sideways first.

3. A civil engineer is designing a road. At what angle should he bank the road surface in a curve of radius 70m so that there is no tendency for a vehicle traveling at 90 km/h to slip sideways, either up or down the banking.

4. A centrifugal watch has a construction as shown in the attachment. If each of three bob-weights has a mass of 0.1kg and the spring has stiffness of 6000N/m, at what speed, in rev/min, will it engage?

5. If the same clutch rotates at 1500 rev/min and the coefficient of friction between the bob weights and the clutch drum is 0.7. Find the maximum torque and power which the clutch transmits.

Please explain for me how to do this question.
Earth is a spherical object, which completes a full rotation every 24 hours. How long should the day on Earth be so that an object at the equator is able to float freely above the ground?

A student of weight 656 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force N on the student from the seat is 551 N.
a.What is the magnitude of N at the lowest point?
b.What is the magnitude of N if the wheel's speed is doubled?

A train traveling at a constant speed rounds a curve of radius 286 m. A chandelier suspended from the ceiling swings out to an angle of 15.7 degrees throughout the turn. What is the speed of the train?

A child is twirling a 0.0120 kg ball on a string in a horizontal circle whose radius is 0.100 m. The ball travels once around the circle in 0.500 s.
(a) Determine the centripetalforce acting on the ball.
(b) If the speed is doubled, does the centripetalforce double? If not, by what factor does the centripetalforce incre

A 50 kg ice skater is moving at 5m/s when she grabs the loose end of the rope,the opposite end of which is tied to a pole.She then moves in a circle of radius 1M around the pole.What is the force exerted by the rope on her arms?
I think F=M*V^2/r =250N am I right?

A satellite of mass 150kg is launched into orbit above the surface of the Earth in a circular orbit. what is the speed of the satellite in its orbit? What is providing the centripetalforce on it? Find its value.

Shown from the top view are six blocks that are sitting at rest on rotating turntables. All of the turntables have the same rotation rate (i.e. same frequency). The masses of the blocks and how far out from the center they sit varies. The specific values are given in the figures.
Which of the following statements are true abo