Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
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Question
Chapter 12.1, Problem 12.53P
To determine
(a)
Magnitude of side force felt by passenger of weight
To determine
(b)
Required angle of tilt
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In the given figure below, a 3.0 -kg block is sliding down a 60°-rough incline. The speed of the block is 1.68 m/s at the instant it is 5.25 m from an uncompressed spring located at the other lower end of the incline.
The spring has a spring or stiffness constant of 120 N/m and the coefficient of kinetic friction between the block and the incline is 0.35. (a) At what speed (in m/s) will the block strike the spring? (b) What would be
the maximum compression (in m) of the spring?
5.25 m
60°
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PRACTICE PROBLEM 8.2
two minecarts are connected as shown below. Friction
is negligible.
Assume that x1 & x2 is the displacement of the mass of
the first cart and the mass of the second cart from
their starting positions respectively.
KI
m,
www m₂
If you know that:
Both minecarts have a mass = 2 kilograms
Spring constant (kl)=72N/m
Spring constant (k2)=108N/m
Spring constant (k3)=72N/m
Differential eq:
ď = [ 3
x
K3
www
Make a second order differential equations system that
models the situation and find the general solution to
the system you make.
General solution:
[x₁(t)
[2²2(b)] = [-] (a₁ cos (-) + b₁ sin (-)) + [-] (0₂0
[x₂(t)
(a2 cos (-) + b₂ sin (-))
Chapter 12 Solutions
Vector Mechanics For Engineers
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Ch. 12.1 - A pilot of mass m flies a jet in a half-vertical...Ch. 12.1 - Wires AC and BC are attached to a sphere that...Ch. 12.1 - A collar of mass m is attached to a spring and...Ch. 12.1 - Four pins slide in four separate slots cut in a...Ch. 12.1 - At the instant shown, the length of the boom AB is...Ch. 12.1 - Prob. 12.F11PCh. 12.1 - Pin B has a mass m and slides along the slot in...Ch. 12.1 - Prob. 12.1PCh. 12.1 - Prob. 12.2PCh. 12.1 - Prob. 12.3PCh. 12.1 - A spring scale A and a lever scale B having equal...Ch. 12.1 - A loading car is at rest on a track forming an...Ch. 12.1 - A 0.5-oz model rocket is launched vertically from...Ch. 12.1 - Determine the maximum theoretical speed that may...Ch. 12.1 - A tugboat pulls a small barge through a harbor....Ch. 12.1 - If an automobile's braking distance from 108 km/h...Ch. 12.1 - A 4-kg package is released from rest at point A...Ch. 12.1 - The coefficients of friction the load and the...Ch. 12.1 - A light train made up of two cars is traveling at...Ch. 12.1 - 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