PROBLEM 15.170 (Continued)
Coriolis acceleration:
/
2 (2)(2 ) (1.18176 0.2084 )
W SE
×= × +
Ωv k i j
PROBLEM 15.171
The human leg can be crudely approximated as two rigid bars (the femur
and the tibia) connected with a pin joint. At the instant shown the veolcity
and acceleration of the ankle is zero. During a jump, the velocity of the
ankle A is zero, the tibia AK has an angular velocity of 1.5 rad/s
counterclockwise and an angular acceleration of 1 rad/s2
counterclockwise. Determine the relative angular velocity and angular
acceleration of the femur KH with respect to AK so that the velocity and
acceleration of H are both straight up at the instant shown.
PROBLEM 15.171 (Continued)
PROBLEM 15.172
The collar P slides outward at a constant relative speed u along rod
AB, which rotates counterclockwise with a constant angular velocity of
20 rpm. Knowing that
250r=
mm when
0
θ
=
and that the collar
reaches B when
90 ,
θ
= °
determine the magnitude of the acceleration
of the collar P just as it reaches B.
PROBLEM 15.173
Pin P slides in a circular slot cut in the plate shown at a constant relative speed
u
90=
mm/s. Knowing that at the instant shown the plate rotates clockwise
about A at the constant rate
3 rad/s,
ω
=
determine the acceleration of the pin if
it is located at (a) Point A, (b) Point B, (c) Point C.
PROBLEM 15.173 (Continued)
(c) Point C.
/
22
22
/
0.2 m
0.09 m/s
(9)(0.2 ) 1.8 m/s
0.081 m/s
C
CF
CC
CF u
ω
r
′
= ↑
= →
=− =− ↑= ↓
= = ↓
r
v
ar
a
2
PROBLEM 15.174
Rod AD is bent in the shape of an arc of a circle of radius b = 150 mm.
The position of the rod is controlled by pin B which slides in a horizontal
slot and also slides along the rod. Knowing that at the instant shown pin
B moves to the right at a constant speed of 75 mm/s, determine (a) the
angular velocity of the rod, (b) the angular acceleration of the rod.
PROBLEM 15.174 (Continued)
PROBLEM 15.175
Solve Prob. 15.174 when
θ
= 90°.
Problem 15.174: Rod AD is bent in the shape of an arc of a circle of
radius b = 150 mm. The position of the rod is controlled by pin B which
slides in a horizontal slot and also slides along the rod. Knowing that at
the instant shown pin B moves to the right at a constant speed of
75 mm/s, determine (a) the angular velocity of the rod, (b) the angular
acceleration of the rod.
PROBLEM 15.175 (Continued)