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Chapter 8: 8-4MCQ (page 198)

The solid dot shown in Fig. 8鈥�36 is a pivot point. The board can rotate about the pivot. Which force shown exerts the largest magnitude torque on the board?

FIGURE 8-36MisConceptual Question 4.

Short Answer

Expert verified

The correct option is (c).

Step by step solution

01

Given data

The magnitude of torque is obtained by the multiplication of force by its perpendicular distance from the pivot point.

The magnitude of the torque is large when the perpendicular distance of the force from the pivot point is large.

The given forces are 1000 N, 500 N, 500 N, 800 N, and 500 N. Although some forces have the same magnitude, they are acting at different positions.

02

Torque

As the forces 1000 N and 800 N act on the pivot point, the torque for these forces is zero.

Now, three 500 N forces are acting in different positions, but the distant perpendicular ace of the force (c) is the largest from the pivot point.

Hence, the torque is the largest for force (c).

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The platter of the hard drive of a computer rotates at 7200 rpm (rpm = revolutions per minute = rev/min). (a) What is the angular velocity \(\left( {{{{\bf{rad}}} \mathord{\left/{\vphantom {{{\bf{rad}}} {\bf{s}}}} \right.} {\bf{s}}}} \right)\) of the platter? (b) If the reading head of the drive is located 3.00 cm from the rotation axis, what is the linear speed of the point on the platter just below it? (c) If a single bit requires \({\bf{0}}{\bf{.50}}\;{\bf{\mu m}}\) of length along the direction of motion, how many bits per second can the writing head write when it is 3.00 cm from the axis?

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