The pendulum in the figure consists of a uniform disk with radius r = 10.0 cm and mass 560 g attached to a uniform rod with length L390 mm and mass 270 g. (a) Calculate the rotational inertia of the pendulum about the pivot point. (b) What is the distance betweenthe pivot point and the center of mass of the pendulum? (c) Calculate the period of oscillation.=(a) Number 0.151Unitskg.m^2(b) Number i0.4621Unitsm(c) Number i 1.256UnitsSL

Step 1:Given r = 10cm = 0.1mM = 560g = 0.56kgL =390mm = 0.39mm = 270g = 0.27kgStep 2:a) Finding the…

Answered: The pendulum in the figure consists of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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500 mm 10.0 cm (hrw8c15p43) A pendulum consists of a uniform disk with radius 10 cm and mass 650 g attached to a uniform rod with length 500 mm and mass 235 g (see the figure). Calculate the rotational inertia of the pendulum about the pivot. Submit Answer Tries 0/5 What is the distance between the pivot and the center of mass of the pendulum? ( m) Submit Answer Tries 0/5 Calculate the period of oscillation. Submit Answer Tries 0/5
In the experiment, you will study an oscillator called a "torsion pendulum." In this case, the restoring "force" is the torsion constant of the wire that suspends the weight X and the inertial term is the rotational inertia of the suspended mass. You will compare the periods of a suspended sphere and of a suspended cube. The rotational inertia of a sphere is Is = 1/10msD^2, where ms is the mass of the sphere and D is its diameter. The rotational inertia of a cube is Ic = 1/6mcS^2, where mc is the mass of the cube and S is the length of its side. If the cube and the sphere are suspended from the same wire, what is the expected ratio of their periods, Tc/Ts? Assume that D = S, ms = 0.20kg, and mc = 0.5 kg.
Show that the natural vibration frequency of the system in Fig. E1.6a is w, = w,(1 – w/w)/2, where Wn is the natural vibration frequency computed neglecting the action of gravity, and wer is the buckling weight. 2.18
A small ball of mass 0.90 kg is attached to one end of a 1.20-m-long massless rod, and the other end of the rod is hung from a pivot. When the resulting pendulum is 23° from the vertical, what is the magnitude of the torque about the pivot?
A hollow cylinder of mass M1 and radius R1 rolls without slipping on the inside surface of another hollow cylinder of mass M2 and radius R2. Assume R1<<RZ. Both axes are horizontal, and the larger cylinder is free to rotate about its axis What is the angular velocity or frequency of small oscillations
Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L. L = 1.6 m Find the period T of the left pendulum for small displacements in s. Find the period T of the right pendulum for small displacements in s.
A simple pendulum has a length of 52.6 cm and makes 81.8 complete oscillations in 2.00 min. (a) Find the period of the pendulum. IS (b) Find the value of g at the location of the pendulum. .2 m/s?
A pendulum's angular position is given by ?= 0.0340 cos (?t), where ? is in radians and ? = 6.23 rad/s. Find the period (in s) and length (in m) of the pendulum.
Shown here is a rod of length = 1.45 m and mass m = 678 g that is pivoted at one end. Centered on the other end of the rod is a solid sphere of radius R = 27 cm and the same mass as the rod. If this was turned into a physical pendulum with the given pivot, what would be the period of the pendulum?
A coin having a mass of m = 12 g, a thickness of h = 0.17 cm, and a radius of r = 1.5 cm has a small hole drilled through it so that it can be suspended from a thin wire and worn as an earring or pendant. The hole is at a distance of 7/8 r from the center of the coin as shown above. When suspended from this hole, the coin is a physical pendulum that swings back and forth with this hole as its axis of rotation. Assuming that the hole does not appreciably change the center of mass of the coin, determine the period of this physical pendulum.

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