Quistion attached Represent the package as a dot. Draw a careful force diagram (
ID: 2117610 • Letter: Q
Question
Quistion attached
Represent the package as a dot. Draw a careful force diagram ("free-body diagram") showing all the forces acting on the package. You should have the same number of arrows as you had objects in your list in part (b), and the tail of each arrow should be on the package. Label each force with the name of the object exerting the force. What is the magnitude of the tension in the cable supporting the package? Carefully show all steps in your work. Write the force exerted on the package by the cable as a vector. What is the magnitude of the force exerted by the air on the package? Write the force on the package by the air as a vector. The pilot is concerned about whether or not the cable, whose breaking strength is listed at 14600 N, is strong enough to support this package under these circumstances. Will the cable break? no yes A helicopter flies to the right (in the + x direction ) at a constant speed of 15 m / s ; parallel to the surface of the ocean. A 1300 kg package of supplies is suspended below the helicopter by a cable as shown in the figure: the package is also traveling to the right in a straight line, a t a constant speed of 15 m/s. Choose the package as the system . What is the rate of change of the momentum of the s y s tem ? List all the objects that are exerting forces on the pack age . (Note that "gravity " is not an object .)Explanation / Answer
angle of the wire with the vertical = tan inverse ( 4.5 / 11 ) = 22.249 degrees
now... let the tension be T ..
so.. T cos theeta = m*g = 1300 * 9.8
d) so T = 1300 * 9.8 / cos theeta = 13,764.83377 N
e) Tenstion as vector = 13,764.83377 * [ 4.5 i^ + 11 j^ ] / sqrt ( 4.5^2 + 11^2 )
T = 1,158.182 * [ 4.5 i^ + 11 j^ ]
Tension = 5211.8182 i^ + 12740 j^
f) magnitude of force by air = T sin theeta = 13,764.83377 * sin 22.249 = 5,211.812921 N
g) force of air as a vector = - 5211.812921 i^ + 0 j^
h) No.. the rope wont break..as the net tension is less than the breaking strength
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