Answered: D A B -b-

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D A B -b-

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A physical pendulum in the form of a planar (flat) metal star moves in simple harmonic motion by swinging from a pivot. With a stopwatch, you measure its motion to have a period of T = 2.05 s. a. If the pendulum has a mass of 2.20 kg and the pivot (axis) is located 0.350 m from the center of mass, determine the rotational inertia I of the pendulum. b. What length would a simple pendulum need to have in order to have the same period of motion as this physical pendulum? c. What spring constant k should you use if you want to create an oscillating mass (1.45 kg) on a spring that has the same period as the pendulum above.
astronaut on the moon attached is a small brass ball to 1.00 m length of string and make a simple pendulum.She times 15 complete swings in 75 seconds. From this result she calculates the acceleration due to gravity on the moon. What is ger result ?
A uniform meter sitck swings without friction about a perpedicular axis throught the 30 cm line What is the frequency of small oscillations? use f = w/2pi and w = sqrt(mgd/I)
A uniform disk of radius R = 0.3 meters and mass M = 0.8 kg can oscillate in the vertical plane, around an axis that passes through the pin, indicated in the figure, which is located at a distance “d” from the center of the disk. What is the value of “d” so that the period of oscillation is minimum?
Grandfather clocks keep time by advancing the hands a set amount per oscillation of the pendulum. Therefore, the pendulum needs to have a very accurate period for the clock to keep time accurately. As a fine adjustment of the pendulum’s period, many grandfather clocks have an adjustment nut on a bolt at the bottom of the pendulum disk. Screwing this nut inward or outward changes the mass distribution of the pendulum by moving the pendulum disk closer to or farther from the axis of rotation at O. Let mp = 0.7 kg and r = 0.1 m Model the pendulum as a uniform disk of radius r and mass mp at the end of a rod of negligible mass and length L – r, and assume that the oscillations of θ are small. If the pendulum disk is initially at a distance L = 0.85 m from the pin at O, how much would the period of the pendulum change if the adjustment nut with a lead of 0.5 mm was rotated four complete rotations closer to the disk? In addition, how much time would the clock gain or lose in a 24 h…
An airplane engine and the pylon that attaches it to the wing are idealized as shown below. Drive the equation of motion for small oscillations. Neglect damping and assume free vibration. The rotational spring shown exerts a restoring moment on the pylon (beam ) which is proportional to the angle the pylon makes with the vertical. The engine has a mass moment of inertia lo about an axis through its mass center. Assume that the pylon(beam) is rigid and weightless. Solve this problem in terms of: - lo, mass moment of inertia of the engine about its own centroid - W, weight of the engine - K, rotational spring constant - L, length of the pylon
A physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the stick a distance d from the 50 cm mark. The period of oscillation is 3.60 s. Find d. I am stumped can you give me a hand?
Near the top of the Citigroup Center building in New York City, there is an object with mass of 3.8 × 105 kg on springs that have adjustable force constants. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven—the driving force is transferred to the object, which oscillates instead of the entire building. a)What effective force constant should the springs have to make them oscillate with a period of 1.4 s in N/m? b)What energy is stored in the springs for a 1.8 m displacement from equilibrium in J?
IC-3 A 167 gram mass is vibrating about its equilibrium position on the end of a spring as shown in problem SHM-8. While vibrating, the mass is observed to have a maximum speed of 0.500m/s and a maximum acceleration of 6.00m/s. At t0 the mass is at the equilibrium position with a velocity to the left. a) Find the numerical values for the angular frequency o and the amplitude of the motion xm. Hint: think about how Vm and xm are related. b) Find the value of the spring constant of the spring. c) The position of the block is described by x Xmcos(@t+0,). Find all possible values of 0, and then explain how to determine the value of 0, that corresponds to the given conditions. 99+ hp
A pendulum swings between extreme angles -a and a it relative to the equilibrium. As it passes through the point at the angle of a/2 w.r.t. the equilibrium, how is its instantaneous speed v related to the maximum speed of the oscillation?
The motion of a rail car is recorded and found to have an overall grms level of 0.23 Grms. This data is used to reproduce the motion in the lab on a random vibration table. What grms level would the PSD profile need to be scaled to for simulation of a 10 hour train ride in 3 hours in the lab?
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