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Physics problems: dynamics

Circular motion

 

Problem 3.

You are driving along an empty straight road at a constant speed u. At some point you notice a tall wall at a distance D in front of you. Would it require a larger force to (a) continue moving straight and decelerate to a full stop before the wall, or (b) turn left or right to avoid the wall? (to make the calculation easier assume that the turn is done at a constant speed along a circular path).

Solution

 

Problem 4.

How fast should the earth spin in order for a 150 lb human not to be able to walk on the ground?

Solution

 

Problem 5.

In the film 2001: A Space Odyssey, a wheel like space station achieves artificial gravity by spinning around its axis. If the station had a size of 2 km, how fast should it be spinning for the people inside to feel the same gravitational acceleration as on earth?

Solution

 

Problem 27.

Consider a wet roadway banked, where there is a coefficient of static friction of 0.40 and a coefficient of kinematic friction of 0.2 between the tires and the roadway. The radius of the curve is R=80m

(a) if the banking angle is 30,what is the maximum speed the automobile can have before sliding up the banking?

(b) What is the minimum speed the automobile can have before sliding down the banking?

Solution

 

Problem 39.

A body of mass 10g is set to rotate in a circular path by means of a string 200 cm long. If it makes 3 complete revolutions in 2s, find the tension of the string.

Solution

 

Problem 40.

A particle moves in a circle of radius 1 m. Its linear speed is given by , where t is in second and v in meter/second. Find the radial and tangential acceleration at .

Solution

 

 

 

 

Problem 41.

A 1.5 kg mass is attached to the end of a 90 cm string. The system is whirled in a horizontal circular path. The maximum tension that the string can withstand is 400 N. What is the maximum number of revolutions per minute allowed if the string is not to break?

Solution

 

Problem 48.

A block of mass m is kept on a horizontal ruler. The friction coefficient between the ruler and the block is . The ruler is fixed at one end and the block is at a distance L from fixed end in the horizontal plane through the fixed end. What can the maximum angular speed be for which the block does not slip?

Solution

 

Problem 55.

What is the magnitude of the force needed to maintain the circular motion of a 45-kg cyclist riding a 40-kg bicycle at 12.5 m/s around a 35.0-m radius circular track.

Solution

 

 

 

 

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