A heavy lifting crane is being used to stack cargo containers on the deck of a s

Question

A heavy lifting crane is being used to stack cargo containers on the deck of a ship. The heaviest container weighs 10 tons20,000 pounds 89,000 Newtons) How much force should the crane's cable support if it lifts this container with an upward acceleration of 1 m/s2? How would this answer change if the crane were sliding the heaviest container up an inclined plane (frictionless) making an angle of 30 degrees with the horizontal. Please assume the crate lies flat on the plane and that the cable pulling it is parallel to the surface of the plane

Explanation / Answer

a=1 m/s2

we would require F=T2-Mg = Ma

T2=M(a+g) where a is the acceleration and g is the gravity

=T1/g * (a+g) = T1/g (a+g) = T1 (1+a/g) = 89000 (1+(1/9.8)) = 89000 * 1.10 = 98009

so this is what is requried for an upward acceleration of 1 m/s2

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