The cars in a soapbox derby have no engines; they simply coast downhill. Which o

Question

The cars in a soapbox derby have no engines; they simply coast downhill. Which of the following designs criteria is best from a competitive point of view? The car's wheels should have large moments of inertia, be massive, be hoop-like wheels rather than solid disks, be large wheels rather than small wheels, or have small moments of inertia. Calculate the net torque (magnitude and direction) on the beam in Figure P8.3 about an axis through O perpendicular to the page and an axis through eperpendicular to the page. A dental bracket exerts a horizontal force of 80.0 N on a tooth at point B in Figure P8.4.

Explanation / Answer

Tnet = T1 + T2
Tnet = torque at pt C + torque at point on end of bar
Break down forces into x and y components Up is + down is -
T@C = 21.65 N * 2 m = 21.65 Nm CCW
T@End of bar = 3.42 N * 4 m = 13.68 Nm CW
T@C > T@End of bar so bar rotates CCW

Part b)

T@O = F * d
T@O= 21.21N * 2 m = 42.42 Nm CCW
T@End of Bar = 3.42N * 2m = 6.84 Nm CW

T@O > T@End of Bar so bar rotates CCW

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