Chapter 7.

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Presentation transcript:

Chapter 7

Which force is responsible for holding a car in an unbanked curve Which force is responsible for holding a car in an unbanked curve? a)the car's weight b)the force of friction c)the reaction force to the car's weight c)the vertical component of the normal force e)the horizontal component of the normal force

Which force is responsible for holding a car in an unbanked curve? a)the car's weight b)the force of friction c)the reaction force to the car's weight c)the vertical component of the normal force e)the horizontal component of the normal force

A boy is whirling a stone around his head by means of a string A boy is whirling a stone around his head by means of a string. The string makes one complete revolution every second, and the tension in the string, FT, is directed horizontally. The boy then speeds up the stone, keeping the radius of the circle constant, so that the string makes two complete revolutions every second. What happens to the tension in the sting? a)The tension is unchanged. b)The tension reduces to half of its original value. c)The tension increases to twice its original value. d)The tension increases to four times its original value. e)The tension reduces to one-fourth of its original value.

A boy is whirling a stone around his head by means of a string A boy is whirling a stone around his head by means of a string. The string makes one complete revolution every second, and the tension in the string, FT, is directed horizontally. The boy then speeds up the stone, keeping the radius of the circle constant, so that the string makes two complete revolutions every second. What happens to the tension in the sting? a)The tension is unchanged. b)The tension reduces to half of its original value. c)The tension increases to twice its original value. d)The tension increases to four times its original value. e)The tension reduces to one-fourth of its original value.

A plane is traveling at 200 m/s following the arc of a vertical circle of radius R. At the top of its path, the passengers experience "weightlessness." To one significant figure, what is the value of R? a)200 m b)1000 m c)2000 m d)4000 m e)40 000 m

A plane is traveling at 200 m/s following the arc of a vertical circle of radius R. At the top of its path, the passengers experience "weightlessness." To one significant figure, what is the value of R? a)200 m b)1000 m c)2000 m d)4000 m e)40 000 m

Determine the minimum angle at which a roadbed should be banked so that a car traveling at 20.0 m/s can safely negotiate the curve without the aid of friction. The radius of the curve is 2.00 x 102 m. a) 0.200° b) 0.581° c) 11.5° d) 19.6° e) 78.2°

Determine the minimum angle at which a roadbed should be banked so that a car traveling at 20.0 m/s can safely negotiate the curve without the aid of friction. The radius of the curve is 2.00 x 102 m. a) 0.200° b) 0.581° c) 11.5° d) 19.6° e) 78.2°

Consider a hypothetical planet in our solar system whose average distance from the Sun is about four times that of Earth. Determine the orbital period for this hypothetical planet. a) 0.25 year b) 2.5 years c) 4 years d) 8 years e) 16 years

Consider a hypothetical planet in our solar system whose average distance from the Sun is about four times that of Earth. Determine the orbital period for this hypothetical planet. a) 0.25 year b) 2.5 years c) 4 years d) 8 years e) 16 years

A simple pendulum of length L suspended from the ceiling is displaced and let go so that the bob of the pendulum moves with uniform angular velocity ω along a horizontal circle of radius R (Fig.). The bob has mass M and its size is negligible compared to R. The tension in the string of the pendulum is (a) Mg (b) MgL cos θ (c) M (Rω2 + g cos θ) (d) M (R2ω4 + g2 cos2θ)1/2 (e) M (R2ω4 + g2)1/2

A simple pendulum of length L suspended from the ceiling is displaced and let go so that the bob of the pendulum moves with uniform angular velocity ω along a horizontal circle of radius R (Fig.). The bob has mass M and its size is negligible compared to R. The tension in the string of the pendulum is (a) Mg (b) MgL cos θ (c) M (Rω2 + g cos θ) (d) M (R2ω4 + g2 cos2θ)1/2 (e) M (R2ω4 + g2)1/2

Explanation There are three forces acting on the bob: (i) The weight Mg of the bob acting vertically downwards. (ii) The centrifugal force MRω2 acting radially outwards. (iii) The tension T in the string. Evidently the tension T is the resultant of the other two forces so that we have T = [(MRω2)2 + (Mg)2]1/2 Thus T = M (R2ω4 + g2)1/2