Midterm Answers - Mechanical and Mechatronics Engineering

1
NAME & ID DATE MTE 119 – STATICS PAGE
MIDTERM - SPRING 2004
ANSWERS
Mechatronics Engineering
2
Minimum: θ = 0
PROBLEM 1:
a. r = 5.92 , F = 7.68
Direction Cosines:
For r : cosα r
= 0.845 , cos β
r
=− 0.169 , cosγ r
= 0.507
For F : cosα F
= 0.911, cos β
F
= 0.130 , cosγ F
= − 0.391
b. u 0.845 0.169 0.507
r
= i− j+
k , u 0.911 0.130 0.391
F
= i+ j−
k
c. θ = 56.6
F
θ = 56.6
r
d.
M = 0 i+ 36j+
12k
.
e. d = 4.94m
PROBLEM 2:
FR
= 1.50kN
α = 77.6 , β = 90.6
, γ = 168
PROBLEM 3:
FAE = 170 N, FAB = 340 N, FBC = 562 N, FBD
= 490N
PROBLEM 4:
B
θ
200 lb
Maximum: θ = 45
200 lb
A
x
A
A
y
M
A

Mechatronics Engineering
NAME & ID DATE MTE 119 – STATICS
MIDTERM - SPRING 2004
ANSWERS
PAGE
2
2
PROBLEM 5:
a.
480lb/ft
600lb/ft
y
x
B x
B y
C y
3 ft 6 ft 2 ft
A B
C D
b.
4 ft
720lb 1800lb
1200lb
1 ft 1 ft
y
c. C = 2360lb, B = 1360lb
, B = 0
y
y
x
B x
B y
C y
3 ft 6 ft 2 ft
A B
C D
x