Question

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?

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 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 pendulum swings through an arc of 90.0° (45.0° on either side
of the vertical). The mass of the bob is 4.10 kg and the length of
the suspending cord is 1.70 m.
(a) Find the tension in the cord at the end points of the
swing.
(b) Find the velocity of the bob as it passes its lowest point and
the tension in the cord at this point.
velocity
=
tension
=

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?

A wrecking ball utilized to knock down structures has a mass of
m=1490 kg and is hanging from a cable of length L= 19 m. It reaches
a maximum speed of v= 18 m/s while traveling in a circular arc in
the direction of the structure.
a) What is the minimum tension in N that the cable must be able
to support without breaking? Assume the cable is massless.
b) If the cable can only support a tension of 10,000...

A 0.0410- kg ball swings on the end of a 1.270- m-long string.
On one swing the tension in the string is 1.177 N at the lowest
point. By the second swing the ball has lost 9.3 percent of its
energy. What is the ball's speed at the lowest point on the second
swing?

The figure shows a ball with mass m = 0.450 kg attached
to the end of a thin rod with length L = 0.415 m and
negligible mass. The other end of the rod is pivoted so that the
ball can move in a vertical circle. The rod is held horizontally as
shown and then given enough of a downward push to cause the ball to
swing down and around and just reach the vertically upward
position, with zero speed...

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