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Chapter 12: Q. 18 (page 331)

In FIGURE EX12.18, what is the net torque about the axle?

Short Answer

Expert verified

The net torque on the pulley about the axle is −0.20Nm.

Direction of torque is clockwise.

Step by step solution

01

Step 1. Given information

Torque by a force is defined as τ=Frsinϕ,

Here ϕis measured counterclockwise from the r→vector to the F→vector.

02

Step 2. Explanation

The net torque on the pulley about the axle is the torque due to the 30 N force plus the torque due to the 20 N force:

τ=(30N)r1sinϕ1+(20N)r2sinϕ2=(30N)(0.02m)sin−90°+(20N)(0.02m)sin90°=(−0.60Nm)+(0.40Nm)=−0.20Nm

The net torque on the pulley about the axle is−0.20Nm

Direction of torque is clockwise.

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