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Chapter 9: Problem 14

A hook above a stage is rated to support \(150 .\) lb. A 3 -lb rope is attached to the hook, and a 147 -lb actor is going to attempt to swing across the stage on the rope. Will the hook hold the actor up during the swing?

Short Answer

Expert verified
Answer: Yes, the hook can support the combined weight of the rope and the actor during the swing.

Step by step solution

01

Determine the total weight of the rope and actor

First, we need to find the total weight of the rope and actor. To do this, we simply add the weight of the rope (3lb) to the weight of the actor (147lb). So, the total weight is: Total weight = Weight of rope + Weight of actor
02

Calculate the total weight

Now we can insert the given values and calculate the total weight. Total weight = 3lb + 147lb Total weight = 150lb
03

Compare the total weight to the hook's weight limit

Now, we need to compare the total weight (150lb) to the weight limit of the hook (also 150lb). We want to know if the hook can support this weight, so we must see if the total weight is less than or equal to the weight limit of the hook.
04

Determine if the hook can hold the actor up during the swing

Since the total weight (150lb) is equal to the weight limit of the hook (150lb), the hook will be able to hold the actor up during the swing. The hook will be under its maximum rated weight, and thus should be able to safely support the actor and rope.

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Most popular questions from this chapter

A ball attached to the end of a string is swung around in a circular path of radius \(r\). If the radius is doubled and the linear speed is kept constant, the centripetal acceleration a) remains the same. b) increases by a factor of 2 . c) decreases by a factor of 2 . d) increases by a factor of 4 e) decreases by a factor of 4 .

What is the centripetal acceleration of the Moon? The period of the Moon's orbit about the Earth is 27.3 days, measured with respect to the fixed stars. The radius of the Moon's orbit is \(R_{M}=3.85 \cdot 10^{8} \mathrm{~m}\).

A girl on a merry-go-round platform holds a pendulum in her hand. The pendulum is \(6.0 \mathrm{~m}\) from the rotation axis of the platform. The rotational speed of the platform is 0.020 rev/s. It is found that the pendulum hangs at an angle \(\theta\) to the vertical. Find \(\theta\)

Is it possible to swing a mass attached to a string in a perfectly horizontal circle (with the mass and the string parallel to the ground)?

A discus thrower (with arm length of \(1.2 \mathrm{~m}\) ) starts from rest and begins to rotate counterclockwise with an angular acceleration of \(2.5 \mathrm{rad} / \mathrm{s}^{2}\) a) How long does it take the discus thrower's speed to get to \(4.7 \mathrm{rad} / \mathrm{s} ?\) b) How many revolutions does the thrower make to reach the speed of \(4.7 \mathrm{rad} / \mathrm{s} ?\) c) What is the linear speed of the discus at \(4.7 \mathrm{rad} / \mathrm{s} ?\) d) What is the linear acceleration of the discus thrower at this point? e) What is the magnitude of the centripetal acceleration of the discus thrown? f) What is the magnitude of the discus's total acceleration?
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