A crane of mass M has a wheelbase, l, and its centre of mass midway between the

Question

A crane of mass M has a wheelbase, l, and its centre of mass midway between the wheels (the mass of the boom is negligible). The boom has length L and makes an angle theta with the horizontal. The crane is in contact with the ground only at its front and rear tires. The diagram shows the crane, supporting a mass m in front. We will be considering two aspects: (a) the force of the rear wheels on the ground, and (b) when the crane tips over, as a function of m and theta. Answer True or False to each of the statements below; e.g., if the first statement is true and the rest, false, enter TFFFF. As shown, the force of the rear wheel on the ground is less than Mg/2. If the crane tips due to the mass m, the front wheel would remain in contact with the ground. As shown, the weight of the crane leads to a clockwise torque about the front axle. The crane is in static equilibrium. It is most convenient to calculate torques about the rear axle. For all theta

Explanation / Answer

TTTFT

N=g(M+m)/2 -(mLCos(theta)/l

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