MAE-2104 – Engineering Mechanics II
Practice Exam #1 - Kinetics of Particles and Systems of Particles
1.
The inclined plane supports block A which has a weight of 10 lb. The tension,
T, exerted on the rope is 10 lbs. If the coefficient of kinetic friction between
the block and the plane is k = 0.1, determine the acceleration along the plane
for the block. Assume the block starts from rest.
2.
Using a forked rod, a smooth cylinder P is forced
to move along the vertical slotted path r = (0.6 )
m, where  is in radians. If the forked rod has a
constant angular speed of  =0.2 rad/s,
determine the magnitude of the velocity and
acceleration of the cylinder at the instant
=
 rad. Assume the cylinder is in contact with
only one edge of the rod and slot at any instant.
3.
The 50-lb load is hoisted by the pulley system and motor M. If the crate starts from
rest and by constant acceleration attains a speed of 15 ft/s after rising 6 ft, determine
the power that must be applied to the motor at this instant. The motor has an efficiency
 = 0.76. Neglect the mass of the pulleys and cable.
4.
The roller coaster has a 15 meter radius of curvature, , at the
bottom of the first drop. A car starts at a height, h1, of 10 meters
above the ground and the bottom of the first drop, h2, is 2 meters
above the ground. Determine the normal force felt by a 75 kg
passenger when their car is at its lowest point if the car has a
speed of 5 m/s at the crest of the drop. Neglect friction.
R. Gist
1
Ver. A, Rev. 2
MAE-2104 – Engineering Mechanics II
Practice Exam #1 - Kinetics of Particles and Systems of Particles
5.
The 20-lb cart B is supported on rollers of negligible
size. If a 10-lb suitcase A is thrown horizontally on it at
10 ft/s, determine the time t interval before A stops
relative to B. The coefficient of kinetic friction between
A and B is k =0.4.
6.
Determine the magnitude of the angular momentum of the 2.5-kg particle about point O.
7.
Disk A has a mass of 1 kg and is sliding forward on a smooth surface with a velocity (A)1 = 5 m/s when
it strikes the 3 kg disk B, which is sliding towards A at (B)1 = 2 m/s, with direct central impact. If the
coefficient of restitution between the disks is e = 0.4, compute the velocities of A and B just after
collision.
8.
A 2-kg collar is on a horizontal straight rod, starting
at position A. A linear spring attaches the collar to
a point above the rod. The spring has a spring
constant, k, of 20 N/m. Its natural length, l0, is 30
cm. At position A the spring is stretched to a total
length of 50 cm. At position B, the spring is a total
length of 30 cm. When at A, the collar is moving at
a speed vA of 3 m/s toward B. How fast is the
collar moving at B?
R. Gist
2
Ver. A, Rev. 2