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Engineering Mechanics - Kinematics of Particle (KOP)

Exercise

  • General Questions
"I do not seek. I find."
- Pablo Picasso
1. 

A race car starting from rest moves along a straight track with an acceleration as shown in the graph (where for t 10 s, a = 8 m/s2). Determine the time t for the car to reach a speed of 50 m/s.
A. t = 11.25 s
B. t = 6.25 s
C. t = 12.5 s
D. t = 3.53 s
2. 

A two-stage missile is fired vertically from rest with an acceleration as shown in the graph. In 15 s the first stage A burns out and the second stage B ignites. How fast is the rocket moving and how far has it gone at t = 20 s? How fast is the missile moving and how far has it gone at t = 20 s?
A. v = 430 m/s, s = 4.30 km
B. v = 395 m/s, s = 3.69 km
C. v = 360 m/s, s = 3.60 km
D. v = 500 m/s, s = 5.00 km
3. 

The cylindrical cam C is held fixed while the rod AB and bearings E and F rotate about the vertical axis of the cam at a constant rate of = 4 rad/s. If the rod is free to slide through the bearings, determine the magnitudes of the velocity and acceleration of the guide D on the rod as a function of . The guide follows the groove in the cam, and the groove is defined by the equations r = 0.25 ft and z = (0.25 cos ) ft.
A.
B. v = cos ft/s, a = 4.00 sin ft/s2
C. v = sin ft/s, a = 4.00 cos ft/s2
D. v = 1.000 ft/s, a = 4.00 ft/s2
4. 

If the hoist H is moving upward at 6 ft/s, determine the speed at which the motor M must draw in the supporting cable.
A. VP/H = 6 ft/s
B. VP/H = 2 ft/s
C. VP/H = 12 ft/s
D. VP/H = 18 ft/s
5. 

A package is dropped from the plane which is flying with a constant horizontal velocity of vA = 150 ft/s at a height h = 1500 ft. Determine the radius of curvature of the path of the package just after it is released from plane at A.
A. 2 = 9860 ft
B. 2 = 3000 ft
C. 2 = 1500 ft
D. 2 = 8510 ft

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