Question

3. Consider a conical pendulum with a bob of mass m = 77.0 kg on
a string of length L = 10.0 m that makes an angle of ? = 3.00° with
the vertical. (Consider +î to be towards the center of the circular
path and +ĵ to be upward.)

a) Determine the horizontal and vertical components of the force
exerted by the string on the pendulum.

b) Determine the radial acceleration of the bob.

Answer #1

A conical pendulum consists of a mass m suspended by a
massless string of length l as shown. The mass rotates in a
horizontal circle at fixed angular velocity ω so that the string
makes a constant angle β with the vertical. Show that the angular
velocity of rotation is given by ω = √g/l cos β.

A 18 G rifle bullet traveling to 230 m/s buries itself
in a 3.8 kg pendulum hanging on a 2.9 m long string, which makes
the pendulum swing upward in an arc. Determine the vertical and
horizontal components of the pendulum displacement.
vertical
horizontal

A simple pendulum with mass m = 2 kg and length L = 2.67 m hangs
from the ceiling. It is pulled back to an small angle of θ = 11°
from the vertical and released at t = 0.
1)What is the period of
oscillation?
s
2)What is the magnitude of the
force on the pendulum bob perpendicular to the string at
t=0?
N
3)What is the maximum speed of
the pendulum?
m/s
4)What is the angular
displacement at...

A 20 g rifle bullet traveling 220 m/s buries itself in a 3.7 kg
pendulum hanging on a 3.0 m long string, which makes the pendulum
swing upward in an arc. Determine the vertical and horizontal
components of the pendulum's displacement.
vertical: _____
Horizontal: _______

A conical pendulum consists of a 300 g ball suspended from a
light, 1.0 m long, string. The ball is rotating in a circle such
that the string makes an angle of 30° with the vertical. What is
the speed of the ball?

A 20 g rifle bullet traveling 225 m/s buries itself in a 3.3 kg
pendulum hanging on a 2.7 m long string, which makes the pendulum
swing upward in an arc. Determine the vertical and horizontal
components of the pendulum's displacement.
I was able to get the vertical components which was 0.0936m but
I'm not sure how to get the horizontal.

A 19 g rifle bullet traveling 230 m/s buries itself in a 3.1 kg
pendulum hanging on a 2.8 m long string, which makes the pendulum
swing upward in an arc. Determine the vertical and horizontal
components of the pendulum's displacement.
vertical______
m
horizontal
_____m

A bob of mass m = 0.300 kg is suspended from a fixed
point with a massless string of length L = 21.0 cm . You
will investigate the motion in which the string traces a conical
surface with half-angle θ = 22.0
What tangential speed v must the bob have so that it
moves in a horizontal circle with the string making an angle 22.0 ∘
with the vertical?
Express your answer numerically in meters per second.

In a slow-pitch softball game, a 0.200-kg softball
crosses the plate at 10.0 m/s at an angle of 35.0° below the
horizontal. The batter hits the ball toward center field, giving it
a velocity of 50.0 m/s at 30.0° above the horizontal. (Take
positive î to be the horizontal direction from the plate toward
center field and take positive ĵ to be the upward vertical
direction.)
(a) Determine the impulse delivered to the ball.
(b) If the force on the...

A pendulum consisting of a small bob of mass m at the end of an
effectively massless rigid rod of length L is set into motion by
releasing its bob from a small angle theta 0 from the vertical. a)
What maximum angular and linear speed does the pendulum achieve?
Where in its path is this speed reached? b) What are the angular
and linear oscillation frequencies of the pendulum [or what is its
period].

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