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# PS5 - Physics 16 Spring 2010 Problem Set 5 5.104 IDENTIFY...

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Physics 16 – Spring 2010 – Problem Set 5 5.104. I DENTIFY : The block has acceleration , directed to the left in the figure in the problem. Apply to the block. S ET U P : The block moves in a horizontal circle of radius . Each string makes an angle with the vertical. , so . The free-body diagram for the block is given in Figure 5.104. Let be to the left and let be upward. E XECUTE : (a) gives . . (b) gives . . The number of revolutions per second is . (c) If , and . . . The number of revolutions per minute is E VALUATE : The tension in the upper string must be greater than the tension in the lower string so that together they produce an upward component of force that balances the weight of the block. Figure 5.104 5.115. I DENTIFY : Apply to the circular motion of the bead. Also use Eq.(5.16) to relate to the period of rotation T . S ET U P : The bead and hoop are sketched in Figure 5.115a.

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