A paddle ball toy consists of a flat wooden paddle and a small rubber ball that are attached to each other by an elastic band (figure). You have a paddle ball toy for which the mass of the ball is 0.011 kg, the stiffness of the elastic band is 0.905 N/m, and the relaxed length of the elastic band is 0.250 m. You are holding the paddle so the ball hangs suspended under it, when your cat comes along and bats the ball around, setting it in motion. At a particular instant the momentum of the ball is (-0.02, -0.01, -0.02) kg m/s, and the moving ball is at location (-0.2, -0.61, 0) m relative to an origin located at the point where the elastic band is attached to the paddle. Define this instant as t = 0.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.8.6P
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Use the approximation that Vavg = P/m for each time step.
A paddle ball toy consists of a flat wooden paddle and a small rubber ball that are attached to each other by an elastic band (figure). You have a paddle ball toy for which the mass of the ball is 0.011 kg, the stiffness of the elastic band is 0.905 N/m, and the relaxed
length of the elastic band is 0.250 m. You are holding the paddle so the ball hangs suspended under it, when your cat comes along and bats the ball around, setting it in motion. At a particular instant the momentum of the ball is (-0.02, -0.01, -0.02) kg. m/s, and
the moving ball is at location (-0.2,-0.61, 0) m relative to an origin located at the point where the elastic band is attached to the paddle. Define this instant as t = 0.
(a) Determine the position of the ball 0.1 s later, using a At of 0.1 s. (Express your answer in vector form.)
7=(-0.483,-0.493,-0.182)
X
m
Transcribed Image Text:Use the approximation that Vavg = P/m for each time step. A paddle ball toy consists of a flat wooden paddle and a small rubber ball that are attached to each other by an elastic band (figure). You have a paddle ball toy for which the mass of the ball is 0.011 kg, the stiffness of the elastic band is 0.905 N/m, and the relaxed length of the elastic band is 0.250 m. You are holding the paddle so the ball hangs suspended under it, when your cat comes along and bats the ball around, setting it in motion. At a particular instant the momentum of the ball is (-0.02, -0.01, -0.02) kg. m/s, and the moving ball is at location (-0.2,-0.61, 0) m relative to an origin located at the point where the elastic band is attached to the paddle. Define this instant as t = 0. (a) Determine the position of the ball 0.1 s later, using a At of 0.1 s. (Express your answer in vector form.) 7=(-0.483,-0.493,-0.182) X m
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