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PROBLEM 17.15
Gear A has a mass of 1 kg and a radius of gyration of 30 mm; gear B has a
mass of 4 kg and a radius of gyration of 75 mm; gear C has a mass of 9 kg
and a radius of gyration of 100 mm. The system is at rest when a couple
M0 of constant magnitude 4 N · m is applied to gear C. Assuming that no
slipping occurs between the gears, determine the number of revolutions
required for disk A to reach an angular velocity of 300 rpm.
PROBLEM 17.15 (Continued)
2rad/rev
PROBLEM 17.16
A slender rod of length l and weight W is pivoted at one end as shown. It is
released from rest in a horizontal position and swings freely. (a) Determine
the angular velocity of the rod as it passes through a vertical position
and determine the corresponding reaction at the pivot, (b) Solve part a for
W 1.8 lb and l 3 ft.
PROBLEM 17.16 (Continued)
PROBLEM 17.17
A slender rod of length l is pivoted about a Point C located at a distance b
from its center G. It is released from rest in a horizontal position and swings
freely. Determine (a) the distance b for which the angular velocity of the rod
as it passes through a vertical position is maximum, (b) the corresponding
values of its angular velocity and of the reaction at C.
PROBLEM 17.17 (Continued)
PROBLEM 17.18
A slender 9 lb rod can rotate in a vertical plane about a pivot at B. A spring
of constant k 30 lb/ft and of unstretched length 6 in. is attached to the rod
as shown. Knowing that the rod is released from rest in the position shown,
determine its angular velocity after it has rotated through 90°.
PROBLEM 17.18 (Continued)
PROBLEM 17.19
An adapted golf device attaches to a wheelchair to help people
with mobility impairments play putt-putt. The stationary frame
OD is attached to the wheelchair, and a club holder OB is
attached to the pin at O. Holder OB is 6 in. long and weighs 8 oz,
and the distance between O and D is x= 1 ft. The putter shaft has
a length L= 36 in. and weighs 10 oz, while the putter head at A
weighs 12 oz. Knowing that the 1- lb/in. spring between D and B
is unstretched when = 90° and that the putter is released from
rest at = 0°, determine the putter head speed when it hits the
golf ball.
PROBLEM 17.19 (Continued)
