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Chapter 12: Q. 20 (page 331)

The 20-cm-diameter disk in FIGURE EX12.20 can rotate on an axle through its center. What is the net torque about the axle?

Short Answer

Expert verified

The net torque on the axle is鈭�0.94Nm , the direction is clockwise.

Step by step solution

01

Step 1. Given information

The radius of the disk is 10 cm and the disk rotates on an axle through its center.

02

Step 2. Explanation

The net torque on the axle is

蟿=FArAsin蠒A+FBrBsin蠒B+FCrCsin蠒C+FDrDsin蠒D=(30N)(0.10m)sin鈭�90掳+(20N)(0.050m)sin90掳+(30N)(0.050m)sin135掳+(20N)(0.10m)sin0掳=鈭�3Nm+1Nm+1.0607Nm=鈭�0.94Nm

The net torque on the axle is 鈭�0.94Nm, the direction is clockwise.

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