Crane Swivel
Newton’s Law problem? Constant force…?
Okay, so I’m not sure if i solved this problem correctly, and this problem is due tomorrow for my high school physics class…
“A crane at a construction site must raise a 7872kg load 10.0 m straight up into the air before it can swivel sideways to transfer the load to a new location. To bring the load from rest to an upward velocity of 2.18m/s over a distance of 2.00m, what constant force must the crane’s cable apply?”
I recieved the answer 9352 N, but I’m not sure if this is correct and I want to make sure im not forgetting something…
load mass = m = 7872 kg
load weight = mg = 7872(9.81) = 77,224 N
To move at CONSTANT speed the NET force in the direction of motion = 0.
Therefore for a vertical distance of 8 m, the force the crane must supply = 77,224 N
To accelerate load from rest to a vertical velocity = 2.18 m over a distance = 2.00 m,
the crane must supply an ADD’L force = ma
(Vf)² = 2ad {where Vf = 2.18, d = 2.00}
(2.18)² = (2)(a)(2.00)
a = 4.7524/4 = 1.19 m/s²
ma = (7872)(1.19) = 9353 N
The TOTAL force the crane must supply = 77,224 + 9353 = 86,577 N ANS
{if teacher wants only significant digits in answer => 86,600 N ANS}
Comment: at all times the crane’s cable must support the Weight of the LOAD, but during the time it accelerates the load it must supply ADDITIONAL force needed to create that acceleration.
mobile camera crane swivel post assembly
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