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5.126: In all cases, the tension in the string will be half of F.<br />

a) F 2 = 62 N, which is insufficient to raise either block; a<br />

1<br />

= a2<br />

= 0.<br />

b) F 2 = 62 N. The larger block (of weight 196 N) will not move, so a = 0 1<br />

, but the<br />

smaller block, of weight 98 N, has a net upward force of 49 N applied to it, and so will<br />

49 N<br />

2<br />

accelerate upwards with a = 4.9 m s .<br />

2<br />

=<br />

10.0 kg<br />

c) F 2 = 212 N, so the net upward force on block A is 16 N and that on block B is<br />

114 N, so<br />

114 N<br />

2<br />

a and a = 11.4 m s .<br />

16 N<br />

2<br />

1<br />

= = 0.8 m s<br />

20.0 kg<br />

2<br />

=<br />

10.0 kg<br />

5.127: Before the horizontal string is cut, the ball is in equilibrium, and the vertical<br />

component of the tension force must balance the weight, so T A<br />

cos β = w,<br />

or<br />

T A<br />

= w cos β. At point B, the ball is not in equilibrium; its speed is instantaneously 0, so<br />

there is no radial acceleration, and the tension force must balance the radial component of<br />

the weight, so T B<br />

= w cos β,<br />

and the ratio ( T T ) cos<br />

2 β.<br />

B A<br />

=

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