Question

An acrobat swings on a 34.0 m long cable initially inclined at an angle of 32.0° with the vertical. (Assume the cable has negligible mass.)

a) What is the acrobat's speed (in m/s) at the bottom of the swing if he starts from rest?

b) What is the acrobat's speed (in m/s) at the bottom of the swing if instead he pushes off with a speed of 5.60 m/s?

Answer #1

A wrecking ball swings at the end of a 10.3-m cable on a
vertical circular arc. The crane operator manages to give the ball
a speed of 10.9 m/s as the ball passes through the lowest point of
its swing and then gives the ball no further assistance. Friction
and air resistance are negligible. What speed vf does the ball have
when the cable makes an angle of 28.5 ° with respect to the
vertical?

A wrecking ball swings at the end of a 14.7-m cable on a
vertical circular arc. The crane operator manages to give the ball
a speed of 10.7 m/s as the ball passes through the lowest point of
its swing and then gives the ball no further assistance. Friction
and air resistance are negligible. What speed vf does the ball have
when the cable makes an angle of 10.3 ° with respect to the
vertical?

In a Broadway performance, an 67.2-kg actor swings from a
3.20-m-long cable that is horizontal when he starts. At the bottom
of his arc, he picks up his 55.0-kg costar in an inelastic
collision. What maximum height do they reach after their upward
swing?
___ m

In a Broadway performance, an 78.0-kg actor swings from a
R = 3.95-m-long cable that is horizontal when he starts.
At the bottom of his arc, he picks up his 55.0-kg costar in an
inelastic collision. What maximum height do they reach after their
upward swing?

In a Broadway performance, an 84.5-kg actor swings from a R =
4.25-m-long cable that is horizontal when he starts. At the bottom
of his arc, he picks up his 55.0-kg costar in an inelastic
collision. What maximum height do they reach after their upward
swing?

A 3970 kg demolition ball swings at the end of a 34.4 m cable on
the arc of a vertical circle. At the lowest point of the swing, the
ball is moving at a speed of 2.08 m/s. Determine the tension in the
cable.

A stuntman whose mass is 70 kg swings from the end of a
4.0-m-long rope along the arc of a vertical circle. Assuming he
starts from rest when the rope is horizontal, find the tensions in
the rope that are required to make him follow his circular path (a)
at the beginning of his motion, (b) at a height of 1.5 m above the
bottom of the circular arc, and (c) at the bottom of the arc

Tarzan spies a 36.0 kg chimpanzee in severe danger, so he swings
to the rescue. He adjusts his strong, but very light, vine so that
he will first come to rest 4.20 s after beginning his swing, at
which time his vine makes a 11.0 ∘ angle with the vertical.
Part A How long is Tarzan's vine, assuming that
he swings at the bottom end of it?
Part B What is the frequency of Tarzan's
swing?
Part C What is...

A child stands on a bank beside a pond, grasps the end of a
20.0m long rope attached to a nearby tree and swings out to drop
into the water. When the rope makes an angle of 15.0 (degrees) with
the vertical, the child's speed is 5.00 m/s.
A. At what point in the swing does the child's maximum speed
occur?
B. What is the child's maximum speed? Ignore all frictional
effects.
C. Assuming the child stared from rest, what...

Consider an inclined plane at an angle of 40.0°, with a kinetic
coefficient of friction of 0.350 and a static coefficient of
friction of 0.450. A block with mass of 50.0 kg is on the incline
and initially at rest. A force of 535 N, parallel to the incline,
pushes the block a distance of 10.0 m up the incline. Do the
following:
a) Determine the speed of the object at the end of this
displacement using Newton’s Laws of...

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