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PROBLEM 15.164
At the instant shown the length of the boom AB is being decreased at the
constant rate of
0.2 m/s
and the boom is being lowered at the constant rate of
0.08 rad/s. Determine (a) the velocity of Point B, (b) the acceleration of Point B.
PROBLEM 15.164 (Continued)
(b) Acceleration of Point B.
/boom
2
BBB
u
ω
=++aaa
2
PROBLEM 15.165
At the instant shown the length of the boom AB is being increased at the
constant rate of 0.2 m/s and the boom is being lowered at the constant rate of
0.08 rad/s. Determine (a) the velocity of Point B, (b) the acceleration of Point B.
PROBLEM 15.165 (Continued)
(b) Acceleration of Point B.
/boom 2
BBB u
ω
′
=++aaa
2
PROBLEM 15.166
In the automated welding setup shown, the position of the two welding
tips G and H is controlled by the hydraulic cylinder D and rod BC. The
cylinder is bolted to the vertical plate which at the instant shown rotates
counterclockwise about A with a constant angular velocity of 1.6 rad/s.
Knowing that at the same instant the length EF of the welding assembly
is increasing at the constant rate of 300 mm/s, determine (a) the velocity
of tip H, (b) the acceleration of tip H.
PROBLEM 15.167
In the automated welding setup shown, the position of the two welding
tips G and H is controlled by the hydraulic cylinder D and rod BC. The
cylinder is bolted to the vertical plate which at the instant shown rotates
counterclockwise about A with a constant angular velocity of 1.6 rad/s.
Knowing that at the same instant the length EF of the welding assembly
is increasing at the constant rate of 300 mm/s, determine (a) the velocity
of tip G, (b) the acceleration of tip G.
PROBLEM 15.167 (Continued)
(b) Acceleration of tip G.
PROBLEM 15.168
A chain is looped around two gears of radius 40 mm that can
rotate freely with respect to the 320-mm arm AB. The chain
moves about arm AB in a clockwise direction at the constant
rate of 80 mm/s relative to the arm. Knowing that in the
position shown arm AB rotates clockwise about A at the
constant rate
0.75
ω
=
rad/s, determine the acceleration of
each of the chain links indicated.
Links 1 and 2.
PROBLEM 15.169
A chain is looped around two gears of radius 40 mm that can
rotate freely with respect to the 320-mm arm AB. The chain
moves about arm AB in a clockwise direction at the constant
rate 80 mm/s relative to the arm. Knowing that in the position
shown arm AB rotates clockwise about A at the constant rate
ω
0.75=
rad/s, determine the acceleration of each of the chain
links indicated.
Links 3 and 4.
PROBLEM 15.170
A basketball player shoots a free throw in such a
way that his shoulder can be considered a pin joint at
the moment of release as shown. Knowing that at the
instant shown the upper arm SE has a constant
angular velocity of 2 rad/s counterclockwise and the
forearm EW has a constant clockwise angular
velocity of 4 rad/s with respect to SE, determine the
velocity and acceleration of the wrist W.
