Problem 5: A collar with a weight of 1 lb starts at point A with a speed of 10 ft/sec. The collar is attached to a spring, as shown in Figure 3, which has a natural length of 2 ft and a Hooke's constant of 10 lb/ft. The collar travels along a smooth rod with a semi-circular curve at its middle. The spring is aligned vertically when the collar reaches point B (bottom of semi-circle). 5 ft A 1 ft B 1.5 ft spring Figure 3: Collar attached to spring. Based on this information, answer the following questions: gravity i) What is the speed of the collar at point B? ii) What is the normal force from the rod acting on the collar at point B?

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Please answer using work energy theorem, formatted with Fs for spring force, Fg for gravity, etc. Work = 1/2mvf^2 - 1/2 mvi^2

Problem 5: A collar with a weight of 1 lb starts at point A with a speed of 10 ft/sec. The collar is
attached to a spring, as shown in Figure 3, which has a natural length of 2 ft and a Hooke's
constant of 10 lb/ft. The collar travels along a smooth rod with a semi-circular curve at its
middle. The spring is aligned vertically when the collar reaches point B (bottom of semi-circle).
5 ft
A
1 ft
B
1.5 ft
spring
Figure 3: Collar attached to spring.
Based on this information, answer the following questions:
gravity
i)
What is the speed of the collar at point B?
ii)
What is the normal force from the rod acting on the collar at point B?
Transcribed Image Text:Problem 5: A collar with a weight of 1 lb starts at point A with a speed of 10 ft/sec. The collar is attached to a spring, as shown in Figure 3, which has a natural length of 2 ft and a Hooke's constant of 10 lb/ft. The collar travels along a smooth rod with a semi-circular curve at its middle. The spring is aligned vertically when the collar reaches point B (bottom of semi-circle). 5 ft A 1 ft B 1.5 ft spring Figure 3: Collar attached to spring. Based on this information, answer the following questions: gravity i) What is the speed of the collar at point B? ii) What is the normal force from the rod acting on the collar at point B?
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