Question: The system in Fig. 12-28 is in equilibrium, with the string in the center exactly horizontal. Block A weighs 40 N , block B weighs 50 N , and angle is 350 . Find (a) tension T1 , (b) tension T2 , (c) tension T3 , and (d) angle .
The weight of the block A, WA = 40 N
The weight of the block B, WB =50 N
The angle made by T1 with vertical is,
Using the free body diagram and the condition for equilibrium, you can find the tensions in the string and the angle theta. The formulas used are given below.
Newton’s second law:
Fnet = ma
Fnet = 0
The free body diagram:
Fynet = 0
From the figure we can write,
Hence, the tension T1 in the string is 49 N
Hence, the tension T2 in the string is 28 N
From the free body diagram, you can write that:
So, the tension T3 is,
Hence, the tension T3 in the string is 57 N
Hence, the angle() made by T3 with vertical is 290 .
Question: Three digital clocks A, B, and C run at different rates and do not have simultaneous readings of zero. Figure 1-6 shows simultaneous readings on pairs of the clocks for four occasions. (At the earliest occasion, for example, B reads 25.0 s and C reads 92.0 s.) If two events are 600 s apart on clock A, how far apart are they on (a) clock B and (b) clock C? (c) When clock A reads 400 s, what does clock B read? (d) When clock C reads 15.0 s, what does clock B read? (Assume negative readings for prezero times.)
Figure 1-6 Problem 13
A vertical container with base area measuring is being filled with identical pieces of candy, each with a volume of and a mass of . Assume that the volume of the empty spaces between the candies is negligible. If the height of the candies in the container increases at the rate of , at what rate (kilograms per minute) does the mass of the candies in the container increase?
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