Question

A ball of 5.0 kg mass is attached to the end of a long wire and whirled around in a perfect circle of 0.9 m radius in the vertical plane as shown in Figure 1 i. With the aid of free body diagrams calculate the following: a) the minimum linear and angular velocity that the ball should be moving to still maintain a circular path (in Figure 1 i). b) the maximum tension in the wire at this minimum velocity (in Figure 1 i). c) In a separate case, if the ball on the 0.9 m wire was whirled in a horizontal circular path as shown in Figure 1 ii calculate the angle, ?, the wire would make with the vertical when the tension in the string is 250 N. 0.9 m 0.9 m ? Figure 1 i (Case 1) Figure 1 ii (Case 2)

          A ball of 5.0 kg mass is attached to the end of a long wire and whirled around in a perfect circle of 0.9 m radius in the vertical plane as shown in Figure 1 i. With the aid of free body diagrams calculate the following:

a) the minimum linear and angular velocity that the ball should be moving to still maintain a circular path (in Figure 1 i).

b) the maximum tension in the wire at this minimum velocity (in Figure 1 i).

c) In a separate case, if the ball on the 0.9 m wire was whirled in a horizontal circular path as shown in Figure 1 ii calculate the angle, ?, the wire would make with the vertical when the tension in the string is 250 N.

0.9 m
0.9 m
?
Figure 1 i (Case 1)
Figure 1 ii (Case 2)

A ball of 5.0 kg mass is attached to the end of a long wire and whirled around in a perfect circle of 0.9 m radius in the vertical plane as shown in Figure 1 i. With the aid of free body diagrams calculate the following:

a) the minimum linear and angular velocity that the ball should be moving to still maintain a circular path (in Figure 1 i).

b) the maximum tension in the wire at this minimum velocity (in Figure 1 i).

c) In a separate case, if the ball on the 0.9 m wire was whirled in a horizontal circular path as shown in Figure 1 ii calculate the angle, ?, the wire would make with the vertical when the tension in the string is 250 N.

0.9 m
0.9 m
?
Figure 1 i (Case 1)
Figure 1 ii (Case 2)

Added by Jennifer N.

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