Midterm Exam 2013 Reference Solution
Enph 270: Planar rigid body dynamics
June 7, 2013
Duration: 90 min
Problem 1 (6 points). Consider the arrangement of rods shown in Fig. 1 below. The diagonal rod AB is
connected to a collar at the points A and B . The
Physics 2T0 In Class Problem Wed. June 6., 2007
{Will be graded and returned
Name: on Fri as part of the quiz]
Student #:
P
/frT~\Y\ t;
I "a
( R=o.5m
t A x
\ 10 Kg
awe-f
'1: =30 Nm I
VB _
m=2 Radfeeo a I E m34Kg
B B
I: is the motor torque acting o
UBC EnPh 270: In-class test 1, 80 min
May 17, 2013. Start: 10:00 AM, end: 11:20 AM
Problem 1
m
0.7
C
B
2.1
30 o
m
y
60 o
VB=0.7m/s
A
x
A large rectangular body has corner A on a skateboard. Point A stays in
contact with the board at all times. The velocit
UBC EnPh 270: Solution to In-class test 1
Problem 1
m
0.7
C
B
2.1
30 o
m
VB=0.7m/s
60 o
y
A
x
A large rectangular body has corner A on a skateboard. Point A stays in
contact with the board at all times. The velocity vB of the center point B is
known.
(a)
Reference solution for Test 2
EnPh 270: Planar rigid body dynamics
Problem 1 (5 points):
The position of point C is xed. Point A moves along the horizontal line and is conned to the line. Point B
undegoes general plane motion but cannot slide along the ro
Test 2
Phys 270: Planar rigid body dynamics
May 24, 2013
Begin: 10:00 am
End: 11:45 am
Duration: 105 min
Your name and student number: .
Problem 1 (5 points):
The position of point C is xed. Point A moves along the horizontal line and is conned to the lin
Test 5
Phys 270: Planar rigid body dynamics
June 21, 2013
Begin: 10:00 am
End: 11:30 am
Duration: 90 min
Problem 1. Block B has a through hole and slides on the horizontal portion of the L
shaped bar. At the instant shown, B has a velocity -2 m/s i and an
Test 4
EnPh 270: Planar rigid body dynamics
June 14, 2013
Begin: 10:00 am
End: 11:30 am
Duration: 90 min
G
G
pothole
folklift with load
Problem 1. (10 points) A forklift is moving straight on a at surface when the left front
wheel hits a pothole. The foll
Test 3
Phys 270: Planar rigid body dynamics
May 31, 2013
Begin: 10:00 am
End: 11:30 am
Duration: 90 min
Your name and student number: .
Problem 1 (5 points): Consider the motion of a marble rolling in a circular slot on a rotating disc.
The marble remains
Test 3
Solutions
1
Problem 1
The velocity at point B is given by
VB = VA + rB/A + VB/A
= (6.0s1 )(0.4m) + (3.0m/s)
i
i
(1)
= (0.6m/s)
i.
The acceleration at point B is given by
aB = aA + rB/A + ( rB/A ) + 2 VB/A + aB/A
(2)
2
(3.0m/s)
j
= (5s2 )(0.4m) (6s