A 10 lb block has an initial speed of vi = 4 2. A force of F = 8 · t² lb is applied. The coefficient of kinetic friction between the block and surface is u = 0.2.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...
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A 10 lb block has an initial speed of v =
4
. A force of F = 8 · t lb is applied. The coefficient of
kinetic friction between the block and surface is u = 0.2.
V1
F = f(t)
Values for the figure are given in the following table. Note the figure may not be to scale.
Variable Value
30 ft
Using equations of motion in rectangular coordinates,
a. Find an equation for the block's horizontal acceleration as a function of t, a(t), when the block
moves s = 30 ft.
b. Find an equation for the block's velocity as a function of t, v(t) , when the block moves s = 30 ft.
c. Determine the time it takes for the block to move s = 30 ft.
i. Use a solver/graphing calculator to solve for the Quartic Function
d. Determine the velocity of the block at s = 30 ft.
%3D
Transcribed Image Text:ft A 10 lb block has an initial speed of v = 4 . A force of F = 8 · t lb is applied. The coefficient of kinetic friction between the block and surface is u = 0.2. V1 F = f(t) Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 30 ft Using equations of motion in rectangular coordinates, a. Find an equation for the block's horizontal acceleration as a function of t, a(t), when the block moves s = 30 ft. b. Find an equation for the block's velocity as a function of t, v(t) , when the block moves s = 30 ft. c. Determine the time it takes for the block to move s = 30 ft. i. Use a solver/graphing calculator to solve for the Quartic Function d. Determine the velocity of the block at s = 30 ft. %3D
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