Engineering Mechanics - Kinematics of Particle (KOP)

Exercise :: Kinematics of Particle (KOP) - General Questions

  • Kinematics of Particle (KOP) - General Questions
21. 

A car is traveling along the circular curve of radius r = 300 ft. At the instant shown, its angular rate of rotation is = 0.4 rad / s, which is increasing at the rate of = 0.2 rad / s2. Determine the magnitude of the acceleration of the car at this instant.

A. a = 108.0 ft/s2
B. a = 60.0 ft/s2
C. a = 48.0 ft/s2
D. a = 76.8 ft/s2

Answer: Option D

Explanation:

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22. 

The mine car is being pulled up to the inclined plane using the motor M and the rope-and-pulley arragement shown. Determine the speed vp at which a point P on the cable must be traveling toward the motor to move the the car up the plane with a constant speed of v = 5 m/s.

A. VP = 1.667 m/s
B. VP = 2.50 m/s
C. VP = 15.00 m/s
D. VP = 10.00 m/s

Answer: Option C

Explanation:

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23. 

A car travels up a hill with the speed shown in the graph. Compute the total distance the car moves until it stops at t = 60 s. What is the acceleration at t = 45 s?

A. s = 400 m, a45 = -3.00 m/s2
B. s = 450 m, a45 = -0.333 m/s2
C. s = 400 m, a45 = -3.00 m/s2
D. s = 450 m, a45 = 0.333 m/s2

Answer: Option B

Explanation:

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24. 

A car is traveling along the circular curve of radius r = 300 ft. At the instant shown, its angular rate of rotation is = 0.4 rad / s, which is increasing at the rate of = 0.2 rad / s2. Determine the magnitude of the velocity of the car at this instant.

A. v = 120.0 ft/s
B. v = 0
C. v = 60.0 ft/s
D. v = 169.7 ft/s

Answer: Option A

Explanation:

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25. 

A particle is moving along a straight line through a fluid medium such that its speed is measured as v = (2t) m/s, where t is in seconds. If it is released from rest at s = 0, determine its positions and acceleration when t = 3 s.

A. s = 9 m, a = 2 m/s2
B. s = 2 m, a = 18 m/s2
C. s = 18 m, a = 2 m/s2
D. s = 2 m, a = 9 m/s2

Answer: Option A

Explanation:

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