A crane that is 10 meters long is rotating (while loaded), at 1 radians/sec. It is stopped instantly (in 0.1 radian) in the position shown. Due to momentum the load continues to swing. Ignoring the deflection of the crane for this problem. (list all assumptions). The load is 750 lbs. a) The weight of the 10 m crane boom is 3000 lb and the mass moment of inertia is 80 lb ft s^2 about the centroid. Using the parallel axis theory find the mass moment of inertia around the point of rotation. Parallel axis theory can be found in appendix B formula B.6 (pg A9). b) Determine the maximum VERTICAL distance through which the load will swing. (Use the principle of work and energy with the work done by the weight. Two positions needed). c) What is the normal acceleration of the weight immediately after the crane stops (magnitude and direction)? d) What is the maximum energy that can be transmitted back to the crane (boom and load)? e) What forces and moments are there on the boom at the point of rotation? Hint. You can assume that the load is a point load for the purposes of this problem.
[20] A crane that is 10 meters long is rotating (while loaded), at 1 radians/sec. It is stopped instantly (in 0.1 radian) in the position shown. Due to momentum the load continues to swing. Ignoring the deflection of the crane for this problem. (list all assumptions). The load is 750 lbs.
a) The weight of the 10 m crane boom is 3000 lb and the mass moment of inertia is 80 lb ft s^2 about the centroid. Using the parallel axis theory find the mass moment of inertia around the point of rotation. Parallel axis theory can be found in appendix B formula B.6 (pg A9).
b) Determine the maximum VERTICAL distance through which the load will swing. (Use the principle of work and energy with the work done by the weight. Two positions needed).
c) What is the normal acceleration of the weight immediately after the crane stops (magnitude and direction)?
d) What is the maximum energy that can be transmitted back to the crane (boom and load)?
e) What forces and moments are there on the boom at the point of rotation?
Hint. You can assume that the load is a point load for the purposes of this problem.
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