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PROBLEM 16.145 (Continued)
Rod
eff /
( ) : 0 ( ) ( cos25 )
22
A A RGR RC
LL
M M I ma ma
a
Σ=Σ =+ − °
2
115(1) 15(0.5 )(0.5) (15 cos25 )(0.5) 0
12 1.25 3.75 (7.5cos25 ) 0
C
C
a
a
aa
aa
+ − °=
+ − °=
PROBLEM 16.146
The uniform slender 2-kg bar BD is attached to the uniform 6-kg
uniform disk by a pin at B and released from rest in the position
shown. Assuming that the disk rolls without slipping, determine
(a) the initial reaction at the contact point A, (b) the corresponding
smallest allowable value of the coefficient of static friction.
PROBLEM 16.147*
The 6-lb cylinder B and the 4-lb wedge A are held at rest in the
position shown by cord C. Assuming that the cylinder rolls without
sliding on the wedge and neglecting friction between the wedge and
the ground, determine, immediately after cord C has been cut, (a) the
acceleration of the wedge, (b) the angular acceleration of the cylinder.
PROBLEM 16.147* (Continued)
(b) Angular acceleration of the cylinder.
eff /
( ) : (6 lb)sin 20 (0.25 ft) (0.25 ft) cos20 (0.25 ft)
E E B BA B A
M M I ma ma
a
Σ=Σ ° =+ − °
3 6 lb
1.5sin 20 (0.25 )(0.25)
16(32.2) 32.2
6 lb cos20 (0.25)
aa
°= +
A
A
PROBLEM 16.148*
The 6-lb cylinder B and the 4-lb wedge A are held at rest in the
position shown by cord C. Assuming that the cylinder rolls without
sliding on the wedge and neglecting friction between the wedge and
the ground, determine, immediately after cord C has been cut, (a) the
acceleration of the wedge, (b) the angular acceleration of the
cylinder.
PROBLEM 16.148* (Continued)
(a) Acceleration of the wedge.
Substitute for
a
from (2) into (1):
2
sin 20 0.15cos20 (2.506 )
11.013 0.3532
(1 0.3532) 11.013
AA
AA
A
ag a
aa
a
= °+ °
= +
−=
2
PROBLEM 16.149*
Each of the 3-kg bars AB and BC is of length L = 500 mm. A horizontal force P of
magnitude 20 N is applied to bar BC as shown. Knowing that b = L (P is applied at C),
determine the angular acceleration each bar.
PROBLEM 16.149* (Continued)
Bar AB:
eff
( ): ( )
2
A A x AB AB L
M M B L I ma
a
Σ=Σ = +
2
12 2 2
1
AB AB
m LL
Lm
aa
= +
PROBLEM 16.150*
Each of the 3-kg bars AB and BC is of length
500 mm.L=
A horizontal force P of
magnitude 20 N is applied to bar BC. For the position shown, determine (a) the distance
b for which the bars move as if they formed a single rigid body, (b) the corresponding
angular acceleration of the bars.
PROBLEM 16.150* (Continued)
Bar BC:
eff
( ): ( )
2
B B BC BC
L
M M Pb I ma
a
Σ=Σ = +
2
2
3
12 2 2
5
6
6
mL
L mL
Pb mL
Pb
aa
a
= +
=
