Bicycle brakes A set of caliper brakes exerts a force on

Chapter 10, Problem 57E

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QUESTION:

Bicycle brakes A set of caliper brakes exerts a force on the rim of a bicycle wheel that creates a frictional force F of 40 N (see figure). Assuming the wheel has a radius of 66 cm, find the magnitude and direction of the torque about the axle of the wheel.

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QUESTION:

Bicycle brakes A set of caliper brakes exerts a force on the rim of a bicycle wheel that creates a frictional force F of 40 N (see figure). Assuming the wheel has a radius of 66 cm, find the magnitude and direction of the torque about the axle of the wheel.

ANSWER:

Solution 57E

Step 1 of 3;

In this problem  we need to find the magnitude and direction of the torque about the axle of the wheel .            

From the given figure , the frictional force of the wheel F = 40N acts perpendicular to the action of the brakes from the center of the wheel .

Given the radius of the wheel is  r = 66cm

                                                                 = m

                                                                 = 0.66m

The action of the brakes is upwards from the center of the wheel  and the frictional force is  perpendicular to the  action of brakes .

So , let us assume the action of brakes is along  the  z -axis , frictional force is along the positive  y - axis, then the torque is perpendicular to both these actions .

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