DEPARTMENT OF ENGINEERING SCIENCE
COLLEGE OF ENGINEERING AND AGRO-INDUSTRIAL TECHNOLOGY
UNIVERSITY OF THE PHILIPPINES LOS BAÑOS
Halos Sandosenang Tulong-Dunong sa Dose
Problem Set on Rigid Body Kinematics
1. A container for waste materials is dumped by the
hydraulic-actuated linkage shown. If the piston rod
starts from rest in the position indicated and has an
acceleration of 0.5 m/s2 in the direction shown,
compute the initial angular acceleration of the
container. (Ans.
)
2. The tilting device maintains a sloshing
water bath for washing vegetable
produce. If the crank OA oscillates about
the vertical and has a clockwise angular velocity of 4π rad/s when OA is vertical, determine the
angular velocity of the basket in the position shown where
. (Ans.
)
3. Each of the sliding bars A and B
engages its respective rim of the two
riveted wheels without slipping.
Determine the magnitude of the
velocity of point P for the position
shown. (Ans.
)
4. The wheel rolls to the left without slipping. If the
velocity of B relative to A is 4 ft/s, determine the
magnitude of the velocity of point P for the position.
(Ans.
)
College, Laguna 4031 Philippines
Telefax: (049) 501-8884
Website: http://ceat.uplb.edu.ph
DEPARTMENT OF ENGINEERING SCIENCE
COLLEGE OF ENGINEERING AND AGRO-INDUSTRIAL TECHNOLOGY
UNIVERSITY OF THE PHILIPPINES LOS BAÑOS
5. The double gear rolls between moving gear racks B and C. Given the velocities of the gear
racks below, determine the velocity of gear center A and the the angular velocity of the
double gear.
vB = 18 ft/s
B
2 ft
A
3 ft
C
vC = 3 ft/s
6. Rod AB rests on the wall and on the ground as shown. Given the velocity and acceleration
of point A as shown below, determine the acceleration of its mass center G and the angular
acceleration of the rod.
B
2 ft
G
2 ft
vA = 2 ft/s, →
aA = 4 ft/s2, →
A
60º
College, Laguna 4031 Philippines
Telefax: (049) 501-8884
Website: http://ceat.uplb.edu.ph
DEPARTMENT OF ENGINEERING SCIENCE
COLLEGE OF ENGINEERING AND AGRO-INDUSTRIAL TECHNOLOGY
UNIVERSITY OF THE PHILIPPINES LOS BAÑOS
7. Starting from rest, block A accelerates downwards at aA = 4ft/s2 causing disk B to rotate
counterclockwise. Disk C is fixed-connected to disk B and no slipping occurs between C and
D. Determine the vertical displacement of block E after t = 2 s.
2 ft
1.5 ft
1 ft
C
D
B
E
A
45º
8. Link AB has an angular velocity and angular acceleration shown in the figure. Determine
the angular acceleration of link BC and the acceleration of its point C.
C
2m
B
30º
1m
60º
ωAB = 4 rad/s
αAB = 5 rad/s2
A
College, Laguna 4031 Philippines
Telefax: (049) 501-8884
Website: http://ceat.uplb.edu.ph