Three blocks are connected by a weightless cord and rest on an inclined plane (Fig. P12.34a). Employing a procedure similar to the one used in the analysis of the falling parachutists in Example 9.11 yields the following set of simultaneous equations (free-body diagrams are shown in Fig. P12.34b): 519. 72 216. 55 108. 28 100a 50a R 25a R

University Physics Volume 1
18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 8.5CYU: Check Your Understanding A two-dimensional, conservative force is zero on the x- and y-axes, and...
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Apply the Gauss-Jordan to solve for acceleration a and the tensions T and R in the two ropes.

Three blocks are connected by a weightless cord and rest on an inclined plane (Fig. P12.34a).
Employing a procedure similar to the one used in the analysis of the falling parachutists in Example
9.11 yields the following set of simultaneous equations (free-body diagrams are shown in Fig.
P12.34b):
100az
50a
25a
ve for acecioratiee 2and the tensteTand i
FIGURE P12.34
519.7
216.55
108.28
a, acceleration
50 kg
25 kg
|100 kg
45°
(a)
692.96 × 0.25 = 173.24
692.96
T
346.48 × 0.375 = 129.93
346.48
R
692.96
173.24 x 0,375 = 64.97
173.24
| 346.48 |
100 x 9.8 = 980
T
173.24
%3D
50 x 9.8 = 490
R
%3D
25 × 9.8 = 245
(b)
%3D
Transcribed Image Text:Three blocks are connected by a weightless cord and rest on an inclined plane (Fig. P12.34a). Employing a procedure similar to the one used in the analysis of the falling parachutists in Example 9.11 yields the following set of simultaneous equations (free-body diagrams are shown in Fig. P12.34b): 100az 50a 25a ve for acecioratiee 2and the tensteTand i FIGURE P12.34 519.7 216.55 108.28 a, acceleration 50 kg 25 kg |100 kg 45° (a) 692.96 × 0.25 = 173.24 692.96 T 346.48 × 0.375 = 129.93 346.48 R 692.96 173.24 x 0,375 = 64.97 173.24 | 346.48 | 100 x 9.8 = 980 T 173.24 %3D 50 x 9.8 = 490 R %3D 25 × 9.8 = 245 (b) %3D
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