Intermediate Mechanics I
Solutions
Fall 2012
Homework 5
Solutions
1. A plumb line is held steady while being carried along in a moving train. The train is
accelerating at a constant g/10. If the mass of the plumb is m, nd the deection of
the plumb when in
Intermediate Mechanics I
Homework 5
Fall 2012
Homework 5
Due Monday, 3 November 2012
1. A plumb line is held steady while being carried along in a moving train. The train is
accelerating at a constant g/10. If the mass of the plumb is m, nd the deection o
Intermediate Mechanics I
Solutions
Fall 2012
Homework 4
Solutions
1. Find the value of the constant c such that each of the following forces is conservative:
(a) F = xy i + cx2 j + z 3 k
A force is conservative if
F = 0. For this case, if we take the cur
Intermediate Mechanics I
Solutions
Fall 2012
Homework 3
Solutions
1. A particle undegoes simple harmonic motion with a frequency of 10 Hz. Find the
position x as a function of time given the following initial conditions:
t=0
x = 0.25 m
x = 0.1 m/s
The mot
Intermediate Mechanics I
Fall 2012
Homework 2
Solutions
1. Find the velocity and position as functions of time for a particle of mass m, which
starts from rest at x = 0 and t = 0, subject to the following forces:
(a) Fx = Fo + ct
(b) Fx = Fo sin ct
(c) Fx
Intermediate Mechanics I
Homework 1
Fall 2012
Homework 1
Solutions
1. Given the three vectors A = 2 i + j, B = i + k, and C = 4 j, nd the following
(a) A (B + C) = 6,
(A + B) C = 4
(b) A (B C) = (A B) C = 8
(c) A (B C) = 4 i 8 j + 4 k,
(A B) C = 4 i + 4 k