Part A If the block is acted upon by a vertical force F= (7 sin8t) N, where it is in seconds, select the equation which describes the motion of the block when it is pulled down 100 mm from the equilibrium position and released from rest at f = 0. Displacement is measured in mm. Assume that positive displacement is downward. Express your answer in terms of the variable t. Express the coefficients to three siginificant figures so the displacement is measured in millimeters. ▾ View Available Hint(s) ▾ Hint 1. How to approach the problem Apply the general solution for the displacement of the block. It should include a complementary solution that defines free vibration, and a particular solution that describes forced vibration of the block caused by the applied force. Calculate the natural frequency and determine the constants of integration using the position and velocity of the block at t=0, and substitute the found values into the general solution. y= G Ach If 9 [P ? mm

Part A If the block is acted upon by a vertical force F= (7 sin8t) N, where it is in seconds, select the equation which describes the motion of the block when it is pulled down 100 mm from the equilibrium position and released from rest at f = 0. Displacement is measured in mm. Assume that positive displacement is downward. Express your answer in terms of the variable t. Express the coefficients to three siginificant figures so the displacement is measured in millimeters. ▾ View Available Hint(s) ▾ Hint 1. How to approach the problem Apply the general solution for the displacement of the block. It should include a complementary solution that defines free vibration, and a particular solution that describes forced vibration of the block caused by the applied force. Calculate the natural frequency and determine the constants of integration using the position and velocity of the block at t=0, and substitute the found values into the general solution. y= G Ach If 9 [P ? mm

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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Question

Part A
If the block is acted upon by a vertical force F= (7 sin8t) N, where t is in seconds, select the equation which describes the motion of the block when it is pulled down 100 mm from the equilibrium position and released from rest at t = 0. Displacement y is measured in II. Assume that
positive displacement is downward.
Express your answer in terms of the variablet. Express the coefficients to three siginificant figures so the displacement is measured in millimeters.
▾ View Available Hint(s)
▾ Hint 1. How to approach the problem
Apply the general solution for the displacement of the block. It should include a complementary solution that defines free vibration, and a particular solution that describes forced vibration of the block caused by the applied force.
Calculate the natural frequency and determine the constants of integration using the position and velocity of the block at t = 0, and substitute the found values into the general solution.
y =
ΔΙΑΣΦ
OF ?
mm

A 5-kg block is suspended from a spring having a stiffness of 300 N/m as shown in (Figure 1).
Figure
k=300 N/m
F-7 sin 8

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