Answered: 2. Pendulum Motion I. The motion of a… | bartleby

Related questions

Question

Pendulum Motion I. The motion of a simple pendulum, consisting of a
mass M at the end of a rod of length L., is described by the following first-
order differential equation:
do _ - g sin 0
d0
where w= angular velocity (rad/s)
0 = angle of displacement from equilibrium position
g = 9.81 m/s²
L = 1.0 m
Calculate the angular velocity of the pendulum beginning with the initial
conditions 0= 10°, a
w= 0.3.

Expert Solution

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Answer..
3
A pendulum's angular position is given by e = 0.0310 cos(mt), where e is in radians and w = 3.83 rad/s. Find the period (in s) and length (in m) of the pendulum. period -5.29 How does period depend on angular frequency? s length 5.29 How does the angular frequency of a pendulum depend on its length and the free-fall acceleration? m
1.A hoop is hung on a horizontal nail and undergoes small oscillations, once every 2 seconds. What is the radius of the hoop?
2. An object whose mass is 520 g is fastened to the end of a horizontal spring whose spring constant is 78 N/m. The object is pulled 5.0 cm from equilibrium and released. Assume no friction between the object and the floor. (a) What is the angular frequency and the period of oscillation? b) Write the specific equation of motion for this oscillating system, in the form x(t) A cos(cot + )
how to do?
How do you calculate the period of a pendulum? I was given no equations and all I have are the graphs of the different pendulums.
5 kilogram object is suspended from a string. The string is 4 meters long. What is the period of the object ting as a pendulum? Express your answer a number of seconds, omitting the unit.
The distance d (in meters) of the bob of a pendulum from its rest position at time t (in seconds) is given by the following formula. 2 (²7) ² - 0.36 3600 What is the maximum displacement of the bob after the first oscillation? d=-9e -0.6t/60 COS A. about 8.91 m B. about 5.18 m C. about 0.13 m D. about 8.39 m