A mass is placed on a frictionless, horizontal table. A spring (k = 180 N/m), which can be stretched or compressed, is placed on the table. A 3-kg mass is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x = 7.0 cm and releases it from rest. The mass oscillates in simple harmonic motion. Find the position, velocity, and acceleration of the mass at time t = 3.00 s. x(t = 3.00 s) v(t = 3.00 s) = a(t = 3.00 s) = = = cm cm/s cm/s²

A mass is placed on a frictionless, horizontal table. A spring (k = 180 N/m), which can be stretched or compressed, is placed on the table. A 3-kg mass is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x = 7.0 cm and releases it from rest. The mass oscillates in simple harmonic motion. Find the position, velocity, and acceleration of the mass at time t = 3.00 s. x(t = 3.00 s) v(t = 3.00 s) = a(t = 3.00 s) = = = cm cm/s cm/s²

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

3. An automobile wheel and tire is balanced by a 20.0 g piece of lead located on the rim of a 40.6 cm diameter wheel. As the wheel is balanced horizontally on the machine at the tire store it rotates clockwise with a constant frequency of 15.0 Hz. (a) Find the period of the motion. For the instant at which the lead reaches the eastern most part of its circular path find: (b) its velocity, (c) its acceleration, and (d) the net force upon it. (e) What distance does the lead travel in 1.00 minute?
Each piston of an engine makes a sharp sound every other revolution of the engine. How fast is a race car going if its eight-cylinder engine emits a sound of frequency 750 Hz, given that the engine makes 2000 revolutions per kilometer? At how many revolutions per minute is the engine rotating?
A mass is suspended by a spring such that it hangs at rest 0.5 m above the ground. The mass is raised 40 cm and released at time t = 0 s, causing it to oscillate sinusoidally. If the mass returns to the high position every 1.2 s, determine the height of the mass above the ground at t = 0.7 s.
An object is in simple harmonic motion . The angular acceleration is 5 rad/s2 . When the angular velocity is 2 rad/s, the displacement of the object is 1- 10 m 2- 2.5 m 3- 1.25 m 4- 0.8 m
A single acting reciprocating pump, running at 60 rpm, has a plunger diameter of 30 cm and a stroke of 50 cm. The delivery pipe is 15 cm diameter and 60 m long. Determine the power saved, in kilowatts, in overcoming friction in the delivery pipe if the pump is equipped with an air vessel on the delivery side at the center line of the pump. Take ƒ = 0.01 and presume that the piston executes a simple harmonic motion.
A crank of length 30 cm, starting from an initial horizontal position P, rotates in a positive sense (counterclockwise) at a uniform rate of one revolution per second.a) Determine a function that gives the height of the end of the crank from the initial position line at any time t.
Simple harmonic motion has a amplitude of 0.3 cm and a period of 0.2 seconds. Determine the maximum velocity and acceleration.
A simple pendulum is made of a 50 cm string and a bob of mass m. at t=0, the pendulum is at its equilibrium position and is given an initial velocity v=0.2 m/s. the maximum angular speed, theta max, is?
The acceleration in simple harmonic motion is maximum when its velocity is a. Zero
A 1.5-kg mass attached to an ideal massless spring with a spring constant of 20.0 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the mass is released from x = 0.0 cm with a velocity of 0.370 m/s to the left. Find the followingA. Time periodB. Total mechanical energy of the massC. AmplitudeD. Phase constant of motion. Discuss the two possible values of phase constant you get and explain how you arrived at the correct answer. Write the equation of motion.E. Maximum acceleration of the mass. (Acceleration is maximum when it ispositive). How long after the release does the maximum acceleration occur?F. Draw the position-time graph for one cycle of motion.
Find the maximum vertical acceleration of the floor of a truck trailer, in g, if the suspension frequency is 7 Hz and the floor exhibits a single amplitude vertical displacement of 4 cm.
1. A massless spring (k=400) is pulled by 25cm from its natural length and then released,the spring is attached to a 0.40kg block and oscillates across a horizontal frictionlesssurface. Calculatea. Max velocityb. Max accelerationc. Velocity, restoring force and acceleration at 20 cm from its natural length.