Question

For
the pendulum of mass m and length L, derive the formula for the
period T, and draw a diagram with force vectors illustrating the
motion.

Answer #1

Part One: A simple pendulum of length l = 0.800 has a
mass = 0.250kg. What is the tension in the string when it is at
angle theta = 12.5°? Show your force diagram and work to
support your answer
Part Two: What is the period T of the motion of the
pendulum in Part Two? Assume the period is independent of angle
theta.
Part Three: What is the period T of the motion of the
pendulum in Part One?...

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...

pendulum of mass m= 0.8 kg and length l=1 m is hanging
from the ceiling. The massless string of the pendulum is attached
at point P. The bob of the pendulum is a uniform shell (very thin
hollow sphere) of radius r=0.4 m, and the length l of the pendulum
is measured from the center of the bob. A spring with spring
constant k= 7 N/m is attached to the bob (center). The spring is
relaxed when the bob is...

A simple pendulum with mass m = 1.5 kg and length L = 2.51 m
hangs from the ceiling. It is pulled back to an small angle of θ =
9.6° from the vertical and released at t = 0.
a) What is the angular displacement at t = 3.69 s? (give the
answer as a negative angle if the angle is to the left of the
vertical) (- The period of oscillation is 3.18s)

A simple pendulum has a mass of 0.450 kg and a length of 3.00 m.
It is displaced through an angle of 6.0Â° and then released. Solve
this problem by using the simple harmonic motion model for the
motion of the pendulum.
(a) What is the maximum speed?
___m/s
(b) What is the maximum angular acceleration?
___rad/s2
(c) What is the maximum restoring force?
___N

A simple pendulum with a length of 2.73 m and a mass of 6.54
kg is given an initial speed of 1.36 m/s at its equilibrium
position.
(a) Assuming it undergoes simple harmonic motion, determine
its period.
s
(b) Determine its total energy.
J
(c) Determine its maximum angular displacement. (For large v,
and/or small l, the small angle approximation may not be good
enough here.)
°

A pendulum rod has a length L and has a mass m at the end. The
pendulum is released from rest at an angle θ away from straight
down. (In this problem you may neglect friction and mass of the
pendulum arm.)
What will the velocity of the mass be at the bottom?
What will the tension in the pendulum arm be as it rotates
through the bottom of its swing?
A person holds the pendulum in place before it...

The free-fall acceleration on Mars is 3.7 m/s2.
(a) What length of pendulum has a period of 1.6 s on
Earth?
cm
(b) What length of pendulum would have a 1.6-s period on
Mars?
cm
An object is suspended from a spring with force constant 10
N/m.
(c) Find the mass suspended from this spring that would result
in a period of 1.6 s on Earth.
kg
(d) Find the mass suspended from this spring that would result in a...

The free-fall acceleration on Mars is 3.7 m/s2.
(a) What length pendulum has a period of 1.2-s on Earth? cm
(b) What length pendulum would have a 1.2-s period on Mars? cm
An object is suspended from a spring with force constant 10
N/m.
(c) Find the mass suspended from this spring that would result
in a 1.2 s period on Earth. kg
(d) Find the mass suspended from this spring that would result
in a 1.2 s period on...

The free-fall acceleration on Mars is 3.7 m/s2.
(a) What length of pendulum has a period of 1.8 s on
Earth?
____________________ cm
(b) What length of pendulum would have a 1.8-s period on
Mars?
_____________________ cm
An object is suspended from a spring with force constant 10
N/m.
(c) Find the mass suspended from this spring that would result
in a period of 1.8 s on Earth.
__________________ kg
(d) Find the mass suspended from this spring that would...

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