A small 200 gram lead weight is attached to the end of a 1.00 meter long uniform metal rod that has a mass of 150 grams. The rod is pivoted on a low friction bearing at its upper end. When displaced through a small angle the rod and lead weight oscillate as a simple harmonic oscillator. Find the period of oscillation.

answer

watching

views

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

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

Patrina SchowalterLv2

23 Feb 2019

Unlock all answers

Get 1 free homework help answer.

Already have an account? Log in

Related questions

14.87 .. CALC A slender, uniform, metal rod with mass M is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring with force con- stant k is attached to the lower end of the rod, with the other end Figure P14.87 of the spring attached to a rigid support. If the rod is displaced by a small angle from the vertical (Fig. P14.87) and released, show that it moves in angular SHM and calculate the period. (Hint: Assume that the angle is small enough for the approximations [ sin Ꮎ = Ꮎ and cos Ꮎ = 1 to be valid. The motion is simple har- monic if d-0/dt = -0-0, and the period is then T = 27/0.)

In mechanics, an object whose position relative to a rest position is given by a generalized cosine or sine function.

Is called a simple harmonic oscillator. Examples of the simple harmonic oscillator are a mass suspended from a spring and a pendulum swinging through a small angle, in the absence of frictional damping forces. When we take damping forces into account, we obtain a damped harmonic oscillator:

A mass on a spring is undergoing simple harmonic motion so that its vertical position at time t seconds is given by

Cm below the rest position.

The frequency of oscillation is defined as the reciprocal of the period. What is the frequency of the oscillation of spring?

lilacweasel518

1)As shown in the figure, a uniform conducting rod of length 0.40 m and mass 0.075 kg is in rotational equilibrium about the hinge at point O. A uniform magnetic field of 0.23 T is directed out of the plane of the page, perpendicular to the rod. Due to a battery and wires not shown, there is a current of 4.0 A in the rod directed toward point O. Determine the angle θ.

2)As shown in the figure, a conducting rod with a length of 0.79 m is placed on a horizontal frictionless surface and attached to a power supply by two springs, each with a spring constant of 81 N/m. The springs are initially at their equilibrium length and are in a region where there is a uniform magnetic field of 0.17 T that is perpendicular to the frictionless surface when the power supply supplies a current that causes the wire to move in such a direction that the two springs are stretched.