ME511Dynamics(Fall2015)
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Homework # 8
posted on Thursday, 11/12/2015; due on Thursday, 12/03/2015
Problem 1. [20 points] Derive the Lagranges equations of motion for the spring pendulum, where l is the
unstretched length of the pendulum. Als

ME511Dynamics(Fall2015)
P a g e |1
Homework # 3
posted on Thursday, 09/17/2015; due on Thursday, 09/24/2015
Problem 1. [25 points] A chain is released from
rest with the length b of overhanging links just
sufficient to initiate mo

ME511Dynamics(Fall2015)
Homework # 4
posted on Thursday, 09/24/2015; due on Thursday, 10/01/2015
Problem 1. [25 points] The 3rd and 4th stages of a
rocket are coasting in space with a velocity of 18,000
km/h when a small explosive cha

ME511Dynamics(Fall2015)
P a g e |1
Homework # 6
posted on Thursday, 10/08/2015; due on Thursday, 10/22/2015
Problem 1. [20 points] The jet aircraft has a mass of
4.6 Mg and a drag (air resistance) of 32 kN at a speed
of 1000 km/h at a particula

ME511Dynamics(Fall2015)
P a g e |1
Homework # 2
posted on Tuesday, 09/04/2015; due Tuesday, 09/15/2015
Problem 1. [20 points] A sailboat moving in the direction
shown is tacking to windward against a north wind. The
log registers a hull speed o

ME511Dynamics(Fall2015)
P a g e |1
Homework # 5
posted on Thursday, 10/01/2015; due by 12pm on Wednesday, 10/07/2015 to RR A217
Problem 1. [15 points] The four 3kg balls are rigidly mounted
to the rotating frame and shaft, which are initially rotatin

ME511Dynamics(Fall2015)
P a g e |1
Homework # 1
posted on Tuesday, 08/25/2015; due Thursday, 09/03/2015
Problem 1. [10 points] Given the spherical coordinate system (r , , ) , show that
e e sin e , e sin e cos e , e e cos e and
r
r
r
v rer r sin e

ME511Dynamics(Fall2015)
Homework # 7
posted on Thursday, 10/29/2015; due by 11am on Friday, 11/06/2015 (to RR 217)
Problem 1. [10 points] Each of the sliding
bars A and B engages its respective rim of
the two riveted wheels withou