Name:
ESM 3124 Intermediate Dynamics
Midterm Exam #1 (February 24, 2010)
Write neatly! You have 50 minutes. You can use your cheat sheet.
There are three problems, totaling 20 points.
1. A spring-pendulum has a point mass m attached to a massless spring o

b) Find the skydiver equations of motion and solve them numerically for a 45
second freefall. Plot the altitude versus horizontal position, the skydiver
speed versus time and the horizontal / vertical velocity versus time.
ESM 3124 Dynamics II, HW2
c) Tak

ESM 3124, Dynamics II Analytical and 3D Motion
Fall 2014
Time/Place: MWF 12:20-1:10, 320 Lavery Hall
Instructor: Dr. Shane Ross shane.ross@vt.edu, 224 Norris
TA: Brato Chakrabarti brato@vt.edu, 303 Norris
TA Office Hours: TR 2-5pm, 325 Norris
Description

Two particle system with cables and pulley. Consider the situation illustrated below. Two
particles are constrained by two inextensible cables of lengths R and + r = L. Assume the pulley is
frictionless and the cables remain taut. Derive the equations of

ESM 3124 Dynamics II, HW3
Due Wednesday, September 24, 2014 during 5:20-6:00pm to Brato Chakrabarti (303 Norris)
Three (3) problems. Related reading: Schaub and Junkins, ch. 2, Greenwood, ch. 4.
1. Cart A of mass M can move freely on a horizontal table. T

ESM 3124 Dynamics II, HW 1
Due Wednesday, September 3, 2014 by 4:45 pm to Brato Chakrabarti (303 Norris)
Related reading: Schaub and Junkins (S&J), ch. 1; Greenwood, 2-1, 2-4, 2-8, 2-9, 2-11
1. The object to the right is a glider, a series of three
airfoi

Name:
ESM 3124 Intermediate Dynamics
Midterm Exam #2 (April 11, 2012)
Write neatly! You have 50 minutes. You can use your cheat sheet.
There is one problem worth 20 points.
OA is a rod of length , mass m. AB is a spring of unstretched
length 0 , and r is

Name: ESM 3124 Intermediate Dynamics
Midterm Exam #1 (February 24, 2010)
Write neatly! You have 50 minutes. You can use your cheat sheet'.
There are three problems, totaling 20 points.
1. A spring-pendulum has a point mass m attached to a massless spring

MEMS device. Consider the MEMS device in the
gure with a compliant hinge bent by the attraction
between two equal and opposite charges of strength
Q. The potential energy due to the electric force
between the charges is
Uelec =
Q1 Q2
,
40
where is the di

Name:
ESM 3124 Intermediate Dynamics
Midterm Exam #1 (February 23, 2011)
Write neatly! You have 50 minutes. You can use your cheat sheet.
There are two problems, totaling 20 points.
1. Two masses, m1 and m2 , are attached to each other by
a rigid massless

Name:
ESM 3124 Intermediate Dynamics
Midterm Exam #2 (April 7, 2010)
Write neatly! You have 50 minutes. You can use your cheat sheet.
There is one problem, worth 20 points.
1. Cart A of mass 3m is attached to the wall by the dashpot c. Particle B of mass

ESM 3124 (2010) Intermediate Dynamics: Midterm Exam #2 Solutions
1. Cart A of mass 3m is attached to the wall by the dashpot c. Particle B of mass 2m is hung from
the cart by a spring k of unstretched length L0 . Force P (t) is always horizontal.
n2
n1
(a

Name:
ESM 3124 Intermediate Dynamics
Midterm Exam #1 (February 23, 2011)
Write neatly! You have 50 minutes. You can use your cheat sheet.
There are two problems, totaling 20 points.
1. Two masses, m1 and m2 , are attached to each other by
a rigid massless

Name:
ESM 3124 Intermediate Dynamics
Midterm Exam #2 (April 6, 2011)
Write neatly! You have 50 minutes. You can use your cheat sheet.
Only one problem, worth 20 points (+ 3 extra credit points possible).
Double-check your work. Put a box around your nal a

Name:
ESM 3124 Intermediate Dynamics
Midterm Exam #1 (February 22, 2012)
Write neatly! You have 50 minutes. You can use your cheat sheet.
There are two problems, totaling 20 points.
1. Consider the system shown in the gure. The pendulum has a
massless rod

Intermediate Dynamics, Ungraded Practice Problems
Instructor: Shane Ross
1. A spring-pendulum has a point mass m attached to a massless spring of
stiness k and unstretched length l0 .
g
Using the length l and angle as coordinates, write the dierential
equ

ESM 3124 Intermediate Dynamics, Ungraded Practice Problems
1. Basic concepts in your own words.
(a) What are generalized coordinates? Generalized velocities? Generalized forces?
(b) What are constraints? What are degrees of freedom? What is the relationsh