Rope 2 Rope 1 A box of mass 40 kg hangs motionless from two ropes, as shown in t
ID: 1777320 • Letter: R
Question
Rope 2 Rope 1 A box of mass 40 kg hangs motionless from two ropes, as shown in the diagram above. The angle 1s 24 degrees. Choose the box as the system. The x-axis runs to the right, the y-axis runs up, and the z-axis is out of the page Is dt of the box zero or nonzero? zero O nonzero Which of the following "freebody" diagrams correctly describes the forces acting on the box? What is the y-component of the gravitational force acting on the block? (A component can be positive or negative) What is the y-component of the force on the block due to rope 27 What is the magnitude of F2? What is the x-component of the force on the block due to rope 27 What is the x-component of the force on the block due to rope 1?Explanation / Answer
Given,
m = 40 kg ; theta = 24 deg
The y component of gravitational force on the block is:
F(gravity-y) = -40 x 9.8 = - 392 N
F(gravity) = -392 N
that due to rope
F2y = + 392 N
the magnitude of F2 will be:
F2 = 392/cos24 = 429.1 N
Hence, F2 = 429.1 N
F2x = -429.1 x cos(90+24) = 174.5 N
Hence, F2x = 174.5 N
F1x = - 174.5 N
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