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mollybethe
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Homework Statement
A solid rectangle of uniform density has one corner at the origin. It has a mass of 50 kg. The rectangle
has a length of 4 m in the z-direction, a length of 3 m in the y-direction, and a length of 2 m in
the x-direction. The pivot is at the center of mass.
There is a 50 N force in the x = y = z direction acting on the corner located at the origin. There is
a 35 N force acting at the coordinates, (0.5, 1, 0), which is in the z-direction. There is also a 60 N
force acting at the coordinates, (2, 2, 1), which makes an angle of 130 degrees to the x-axis and
is at an angle of 115 degrees to the z-axis.
(a.) What is the angle between the 50 N and the 60 N forces?
(b.) What will be the angular acceleration of this object?
(c.) If you were to apply a force on the surface of the prism solely in the z-direction in order
to keep it in rotational equilibrium, pick a place to apply the force and find the
magnitude of it.
Homework Equations
The Attempt at a Solution
I know this is a Torque problem and I need to sum the forces on part c, but I have no idea how to determine the angle that is being indicated. Have never had anything in 3 dimensions before and I can't find a single problem like it in my textbook to understand how to do it.
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