14.52 - A small sphere with mass m is attached to a massless rod of length L that is pivoted at the top, forming a simple pen- dulum. The pendulum is pulled to one side so that the rod is at an angle 8 from the vertical, and released from rest. (a) In a diagram, show the pendulum just after it is released. Draw vectors repre- senting the forces acting on the small sphere and the acceleration of the sphere. Accuracy counts! At this point, what is the linear acceleration of the sphere? (b) Repeat part (a) for the instant when the pendulum rod is at an angle /2 from the vertical. (c) Repeat part (a) for the instant when the pendulum rod is vertical. At this point, what is the linear speed of the sphere?

word_media_image1.png

answers

watching

1,110

views

For unlimited access to Homework Help, a Homework+ subscription is required.

Read by 7 people

You have 0 free answers left.
Get unlimited access to 3.8 million step-by-step answers.

Get unlimited access

Already have an account? Log in

yoru5Lv10

19 Jun 2022

Unlock all answers

Get 1 free homework help answer.

Already have an account? Log in

You have 0 free answers left.
Get unlimited access to 3.8 million step-by-step answers.

Get unlimited access

Already have an account? Log in

Keith LeannonLv2

17 Jun 2018

Already have an account? Log in

Related questions

Consider a pendulum bob on a string attached to the ceiling. THelength of the pendulum is 1.00m. The bob is pulled off to the left,to a small angle with the vertical, and let go. The string is cutinstantly by a razor blade at opposite end of the swing. The flooris 0.750m below the bob when the string is cut.

a) What is the bob's velocity when the string is cut.Explain.

b) determine the total amount of time from whenthe bob is first released, to when the bob hits the floor. (thinkof it in two parts: Before it is cut, it is simple pendulum. Afterit is cut, the bob is in freefall)

Thanks for your help, it is greatly appreciated!

1. An interesting one-dimensional system is the simple pendulum,consisting of a point mass m, fixed to the end of a massless rod(length l), whose other end is pivoted from the ceiling to let itswing freely in a vertical plane, as shown in figure below. Thependulumâs position can be specified by its angle ? from theequilibrium position. (It could be equally specified by itsdistance s from equilibrium, i.e. s = l?, but the angle is moreconvenient).
(a) Prove that the pendulumâs potential energy (measured from theequilibrium level) is

(b) Write down the total energy E as a function of ? and .
(c) Show that by differentiating your expression for E with respectto t you can get the equation of motion for ? and that the equationof motion is just the familiar (where is the torque, I is themoment of inertia, and ? is the angular acceleration)
(d) Assuming that the angle ? remains small throughout the motion,solve for ?(t) and show that the motion is periodic withperiod

x.Hm

I just need help in the three questionI figure the last question

1)Consider an oxygen molecule (O2) rotating inthe xy plane about the z axis. The axis

passes through the center of the molecule,perpendicular to its length. The mass of each

oxygen atom is 2.66 x 10

-26 kg, and at room temperature the average separation between

the two atoms is

d=1.21 x 10-10 m (the atoms are treated as point masses).a) Calculate

the moment of inertia of the molecule about the zaxis. b) If the angular speed of the

molecule about the

z axis 4.60 x 1012 rad/s, what is its rotational kineticenergy?

Answer: a) 1.95 x 10