Question

A uniform drawbridge must be held at a 42.0 ∘ angle above the
horizontal to allow ships to pass underneath. The drawbridge weighs
4.80×104 N , is 11.0 m long, and pivots about a hinge at its lower
end. A cable is connected 3.15 m from the hinge, as measured along
the bridge, and pulls horizontally on the bridge to hold it in
place.

1. Find the magnitude of the force the hinge exerts on the
bridge.

2. Find the direction of the force the hinge exerts on the
bridge.

3. If the cable suddenly breaks, what is the initial angular
acceleration of the bridge?

Answer #1

I have used condition of equilibrium and newtons second law for rotational motion.

A uniform drawbridge must be held at a 35.0 ∘ angle above the
horizontal to allow ships to pass underneath. The drawbridge weighs
4.65×104 N , is 18.5 m long, and pivots about a hinge at its lower
end. A cable is connected 3.75 m from the hinge, as measured along
the bridge, and pulls horizontally on the bridge to hold it in
place.
Tension of cable: 1.64x105 N
Magnitude of the force of the hinge exerted on the bridge:...

Sir Lost-a-Lot dons his armor and sets out from the castle on
his trusty steed (see figure below). Usually, the drawbridge is
lowered to a horizontal position so that the end of the bridge
rests on the stone ledge. Unfortunately, Lost-a-Lot's squire didn't
lower the drawbridge far enough and stopped it at θ =
20.0° above the horizontal. The knight and his horse stop when
their combined center of mass is d = 1.10 m from the end
of the...

A thin, uniform, 15.5 kg post, 2.35 m long, is held vertically
using a cable and is attached to a 5.00-kg mass and a pivot at its
bottom end (the figure (Figure 1)). The string attached to the
5.00-kg mass passes over a massless, frictionless pulley and pulls
perpendicular to the post. Suddenly the cable breaks.
A) Find the angular acceleration of the post about the pivot
just after the cable breaks.
B)Will the angular acceleration in part (A) remain...

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