A 270-g block connected to a light spring for which theforce constant is 6.30 N/m is free to oscillate on ax= 0frictionless, horizontal surface. The block is displacedt= 05.20 cm from equilibrium and released from rest as inthe figure.X; = AU; = 0(A) Find the period of its motion.A block-spring system that begins itsmotion from rest with the block at x = A at t(B) Determine the maximum speed of the block.= 0. In this case, o = 0; therefore, x = A cosot.(C) What is the maximum acceleration of the block?(D) Express the position, velocity, and acceleration as functions of time in SI units.SOLVE IT(A) Find the period of its motion.Conceptualize Study the figure and imagine the block moving back and forth in simple harmonic motiononce it is released. Set up an experimental model in the vertical direction by hanging a heavy object suchas a stapler from a strong rubber band.Categorize The block is modeled as a particle in simple harmonic motion.Analyze Use the equation to find theangular frequency of the block-spring6.30 N/m270 x 10-3 kgmsystem:= 4.83 rad/sUse the equation to find the period of the27T%3D2nsystem:4.83 rad/s(B) Determine the maximum speed of the block.Use the equation to find vmay:Vmax = wA = (4.83 rad/s)(5.20 x 10-2 m)m/sMacBook Proesc**:::@2#32$%&234578.QWTY UD< CO%24

Name: A 270-g block connected to a light spring for which theforce constant
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Description: A 270-g block connected to a light spring for which theforce constant is 6.30 N/m is free to oscillate on ax= 0frictionless, horizontal surface. The block is displacedt= 05.20 cm from equilibrium and released from rest as inthe figure.X; = AU; = 0(A

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A 270-g block connected to a light spring for which the x=0 A force constant is 6.30 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced t= 0 5.20 cm from equilibrium and released from rest as in the figure. (A) Find the period of its motion. A block-spring system that begins its motion from rest with the block at x = A at t (B) Determine the maximum speed of the block. = 0. In this case, o = 0; therefore, x = A cos ot. (C) What is the maximum acceleration of the block? (D) Express the position, velocity, and acceleration as functions of time in SI units.

A 270-g block connected to a light spring for which the x=0 A force constant is 6.30 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced t= 0 5.20 cm from equilibrium and released from rest as in the figure. (A) Find the period of its motion. A block-spring system that begins its motion from rest with the block at x = A at t (B) Determine the maximum speed of the block. = 0. In this case, o = 0; therefore, x = A cos ot. (C) What is the maximum acceleration of the block? (D) Express the position, velocity, and acceleration as functions of time in SI units.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.52P: A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where...

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