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Chapter 10: Q96P (page 293)

Beverage engineering. The pull tab was a major advance in the engineering design of beverage containers. The tab pivots on a central bolt in the can鈥檚 top. When you pull upward on one end of the tab, the other end presses downward on a portion of the can鈥檚 top that has been scored. If you pull upward with a10鈥塏 force, approximately what is the magnitude of the force applied to the scored section? (You will need to examine a can with a pull tab.)

Short Answer

Expert verified

The magnitude of forcethat acts on the scored sectionis25鈥�N .

Step by step solution

01

Step 1: Given

i) Distances,r1=1.8cm,鈥夆赌�r2=0.73cm

ii) Force,F1=10鈥塏

02

Determining the concept

As the tab is in equilibrium, the net torque exerted by both forces must be equal. Therefore, by using the formula of torque, find the magnitude of force that acts on the scored section.

The formula is as follows:

蟿up=蟿down

Where, 蟿 is torque

03

Determining themagnitude of force that acts on the scored section

For torque in equilibrium,

蟿up=蟿down

F1r1=F2r2

10鈥塏脳1.8鈥尘=F2脳0.73鈥尘

F2=(1.8鈥塩尘0.73鈥塩尘)脳(10鈥塏)

F2=25鈥塏

Hence, themagnitude of force that acts on the scored section is25鈥�N .

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Most popular questions from this chapter

At t=0, a flywheel has an angular velocity of4.7鈥塺补诲/s, a constant angular acceleration of鈭�0.25鈥塺补诲/s2, and a reference line at胃0=0.

(a) Through what maximum angle胃maxwill the reference line turn in the positive direction? What are the

(b) first and

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At what(d) negative time and

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(f) Graph胃versust, and indicate your answers.

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The masses and coordinates of four particles are as follows:50g,x=2.0cm,y=2.0cm;25g,x=0cm,y=4.0cm;25g,x=-3.0cm,y=-3.0cm;30g,x=-2.0,y=4.0cm.

What are the rotational inertias of this collection about the (a) x, (b) y, and (c) z axes? (d) Suppose that we symbolize the answers to (a) and (b) as A and B, respectively. Then what is the answer to (c) in terms of A and B.

In Fig.10-55, a wheel of radius 0.20mis mounted on a frictionless horizontal axle. A massless cord is wrapped around the wheel and attached to a2.0Kgbox that slides on a frictionless surface inclined at angle 胃=20掳with the horizontal. The box accelerates down the surface at2.0ms2. What is the rotational inertia of the wheel about the axle?
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