Question

A grandfather clock has a pendulum that consists of a thin brass
disk of radius 25 cm and mass 1.9 kg that is attached to a long,
thin rod of negligible mass. The pendulum swings freely about an
axis perpendicular to the rod and through the end of the rod
opposite the disk. The pendulum should be designed so that its
period is 2 s for small oscillations when the gravitational
acceleration is 9.8 m/s^{2}.

(a) What should the length of the rod be?

(b) If this were a simple pendulum, what would the rod's length
have to be?

[Don't forget to account for the physical size of the disk.]

(c) What would the percent error be in using the equations for a
simple pendulum?

*****Please answer all 3 questions****

Answer #1

Please do upvote!!

A grandfather clock has a pendulum that consists of a thin brass
disk of radius 21 cm and mass 1 kg that is attached to a long, thin
rod of negligible mass. The pendulum swings freely about an axis
perpendicular to the rod and through the end of the rod opposite
the disk. The pendulum should be designed so that its period is 2 s
for small oscillations when the gravitational acceleration is 9.8
m/s2.
(a) What should the length...

The pendulum in a grandfather clock is made of brass and keeps
perfect time at 20 ∘C. Do the clock go faster or slower if they is
kept at 25 ∘C? (Assume the frequency dependence on length for a
simple pendulum applies.) How much time is lost in a year?

The pendulum in a grandfather clock is made of brass and keeps
perfect time at 17 ∘C. Do the clock go faster or slower if they is
kept at 29 ∘C? (Assume the frequency dependence on length for a
simple pendulum applies.) How much time is lost in a year?

4. Christy has a grandfather clock with a pendulum that is 3.160
m long. Christy observes the actual period of the clock, and finds
that it is 1.00% faster than that for a simple pendulum that is
3.160 m long. If Christy models the pendulum as two objects, a
3.160-m uniform thin rod and a point mass located 3.160 m from the
axis of rotation, what percentage of the total mass of the pendulum
is in the uniform thin rod?

The pendulum of a clock consists of a mass of 0.20 kg hanging
from a thin rod. The
amplitude of the pendulum swing is 3.0 cm. The clock is driven by a
weight of mass
4.5 kg that falls a distance of 0.95 m over a period of 8 days.
Assuming the pendulum
to be a simple pendulum of length 0.75 m, show that the Q-value of
the clock is
approximately 70.
(Assume g = 9.81 m s−2.)

The pendulum in the figure consists of a uniform disk with
radius r = 11.0 cm and mass 470 g attached to a uniform rod with
length L = 640 mm and mass 240 g. (a) Calculate the rotational
inertia of the pendulum about the pivot point. (b) What is the
distance between the pivot point and the center of mass of the
pendulum? (c) Calculate the period of oscillation

Question intro:
A trade’s person is constructing a very large, old-fashioned
grandfather clock by hand. The pendulum arm of this clock consists
of a uniform rod (mass m and length L) with a uniform disk (mass m
and radius r=L/4) at one end. The other end of the pendulum is
fixed to a frictionless, horizontal axis such that the pendulum arm
can rotate in a vertical plane
Question 1:
What is the symbolic expression for the gravitational potential
energy of...

Simple Pendulum
Please write your answers on a color of your
choice.
Purpose To determine the value of the
gravitational acceleration by using a simple pendulum.
Lab goals
To be able to perform an experiment independently.
To be able to take measurements, obtain results, and interpret
them correctly.
To be able to estimate the accuracy of experimental results.
Equipment
A small object with a hole such as a bead or nut, and a long
string
A measuring tape...

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