## Transcribed Text

Problem 1: (10 points):
The projectile is shot from a cannon on the ground with an
angle of inclination of 0 = 60°, from a partially enclosed space.
to e
The height of the ceiling is 20 m and it extends outward a
g
distance I = 12 m. (assume g = 10 m/s²) Find the following:
Vi
h
hm
1.
The maximum initial speed Vi of the projectile so that
it clears the enclosure. (5 points)
2. The maximum height (hm) of the projectile. (2 points)
d
3. Calculate the radius of curvature of the projectile at its peak point. (3 points)
Problem 2: (10 points):
t
A boat travels around a circular path, p = 10
m. Initially it is traveling with a speed of 5
m/s and its speed increases at a rate of 2
m/s². Determine:
10 m
n
A
1. The magnitude of the boat's
acceleration 4 seconds later (7
points).
2. How long does it take for the boat to come back to its initial position (3
points)?
Problem 3: (10 points):
Given: The 100 Kg mine car is hoisted up the incline. Assume g = 10 m/s2, and no friction
between the car and the incline. (need to draw the datum line, and the correct directions; need
free body diagram)
Find tension in the cable:
(1) When the motor pulls the cable with an acceleration of 3 m/s². (6 points)
(2) When the motor pulls the cable with a constant speed. (4 points)
P.
M
O
30°
Problem 4: (10 points):
Given: MA = 1 Kg, Block A is subject to a constant
A
force of 2 Newton during the whole process.
MB = 2 Kg, VoA = 2 m/s to the right (initial velocity)
F = 2N
Mk = 0.1 (friction coefficient between block A and
O
the ground)
Find: the velocity of block A when it moved 4
B
meters to the right. (g = 10 m/s²). Need to draw
free body diagram

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