MAE-2102 – Dynamics
Practice Exam #1 - Kinematics & Kinetics of Particles
1.
A boy at A throws a ball 45o from the horizontal such that it strikes the slope at B. Determine the speed
at which the ball is thrown and the time of flight.
2.
The inclined plane supports block A which has a weight of 10 lb. The tension,
T, exerted on the rope is 9 lbs. If the coefficient of kinetic friction between the
block and the plane is μk = 0.1, determine the acceleration along the plane for
the block. Assume the block starts from rest.
3.
Using a forked rod, a smooth cylinder P, having
a mass of 2 kg, is forced to move along the
vertical slotted path r = (0.6 θ) m, where θ is in
radians. If the forked rod has a constant angular
speed of θ =0.2 rad/s, determine the magnitude
of the velocity and acceleration of the cylinder at
the instant
θ = π rad. Assume the cylinder is
in contact with only one edge of the rod and slot
at any instant.
4.
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 ε = 0.76. Neglect the mass of the pulleys and cable.
R. Gist
1
Ver. B, Rev. 2
MAE-2102 – Dynamics
Practice Exam #1 - Kinematics & Kinetics of Particles
5.
The roller coaster has a radius of curvature, ρ, at the bottom of the
first drop of 15 ft. 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 ft/s at the crest of the drop. Neglect friction.
6.
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 μk =0.4.
7.
Determine the magnitude of the angular
momentum of the 2.5-kg particle about point
O.
8.
Disk A has a mass of 1 kg and is sliding forward on a smooth surface with a velocity (νA)1 = 5 m/s
when it strikes the 3 kg disk B, which is sliding towards A at (νB)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.
R. Gist
2
Ver. B, Rev. 2