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Problem Set DYNA

The document is a problem set for a course on Dynamics of Rigid Bodies, containing eight physics problems related to motion, velocity, acceleration, and projectile motion. Each problem requires detailed calculations and specific answers formatted to three decimal places with units. Students are instructed to present their solutions neatly and avoid cheating.

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romulodumagit25
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25 views2 pages

Problem Set DYNA

The document is a problem set for a course on Dynamics of Rigid Bodies, containing eight physics problems related to motion, velocity, acceleration, and projectile motion. Each problem requires detailed calculations and specific answers formatted to three decimal places with units. Students are instructed to present their solutions neatly and avoid cheating.

Uploaded by

romulodumagit25
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Name: Date:

Subject and Section: Permit No.:


Student No.:
Problem Set 1 | Dynamics of Rigid Bodies

Instructions: Answer the following questions in an organized, neat, and complete manner. Keep final answer in three
decimal places, units included and enclosed in a rectangle. Avoid erasures. Wrong/missing/incomplete solution is
wrong. Cheating is a sin.

1. Car B is traveling a distance, d ahead of car A. Both cars are traveling at 60 ft/s when the driver of B suddenly
applies the brakes, causing his car to decelerate at 12 ft /s. It takes the driver of car A 0.75 s to react (this is the
normal reaction time for drivers). When he applies his brakes, he decelerates at 15 ft/s 2. Determine the minimum
distance, d between the cars so as to avoid a collision.
2. A particle travels along a straight line with a velocity of v = (4t - 3t2 ) m/s, where t is in seconds. Determine the
position of the particle when t = 4 s. s = 0 when t = 0.
3. A particle moves along a straight line such that its acceleration is a = (4t2 - 2) m/s2, where t is in seconds. When t
= 0, the particle is located 2 m to the left of the origin, and when t = 2 s, it is 20 m to the left of the origin.
Determine the position of the particle when t = 4 s.

4. A bicycle moves along a straight road such that its position is


described by the graph shown in Figure. Construct the”
a. v-t for 0 ≤ t ≤ 30 s
b. a–t graphs for 0 ≤ t ≤ 30 s.

5. A van travels along a straight road with a velocity described by the


graph. Take s = 0 when t = 0.
a. Construct the a-t graphs during the same period.
b. Construct the s-t graphs during the same period.
6. A particle moves in a straight line with the velocity shown in
the figure. Knowing that x = 248 ft at t =0, draw the a–t and
x–t curves for 0 ≤ 𝑡 ≤ 40s and determine:
a. the maximum value of the position coordinate of the
particle.
b. the values of t for which the particle is at a distance
of 108 ft from the origin.

7. A projectile is fired at an angle of 45° from the horizontal ground to reach the maximum range with an initial
velocity of 10 m/s.
a. Determine the time it reaches the ground surface.
b. Determine the maximum height reached by the projectile.
c. Determine the maximum range.
8. A ball is thrown from the top of a tower 30 meters high at an angle of 20° from the horizontal with an initial
velocity of 300 m/s.
a. How long will it hit the ground?
b. How far from the base of the tower will the ball land?
c. What is the maximum height reached by the ball measured from the ground?

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