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Activity 3

This document contains information about four physics students - John Carlo R. Domingo, Joshua Eduard C. Acala, and Christopher V. Paug - and their work on an activity involving applications of equations of motion, response of undamped systems, and response of damped systems. It provides examples for each, such as a freely falling body, a car accelerating, and a child on a playground swing. It also presents solutions to problems about the frequency of vibration of a car with springs and the position, velocity, and acceleration of an object vibrating on a spring over time.

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Domingo Joshua Eduard C.
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72 views2 pages

Activity 3

This document contains information about four physics students - John Carlo R. Domingo, Joshua Eduard C. Acala, and Christopher V. Paug - and their work on an activity involving applications of equations of motion, response of undamped systems, and response of damped systems. It provides examples for each, such as a freely falling body, a car accelerating, and a child on a playground swing. It also presents solutions to problems about the frequency of vibration of a car with springs and the position, velocity, and acceleration of an object vibrating on a spring over time.

Uploaded by

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

Doctor, John Carlo R.

Domingo, Joshua Eduard C.

Acala, Christopher V.

Paug, Guian Karlo D.


Activity 3
1. Cite at least three sample applications from each lesson.
a. Equation of motion
1. A freely falling body dropped from a height. It has zero initial velocity but has
acceleration which is nothing but the acceleration due to gravity that is
uniform.
2. A car from stopped starts to accelerate for a given time.
3. A seated subject is rotated on a turntable and while free to move, always faces
the center of rotation.
b. Response of an Undamped System
1. An equilateral triangle made up of three individual bars and hanged on the
ceiling in one of the three corners.
2. An archery attached to a wall with a spring. An archer shoots an arrow which
sticks into the target.
3. a system of a child sitting still on a playground swing
c. Response of a Damped System
1. Shock absorbers in automobiles and carpet pads
2. Speedometers are critically damped instruments so that when the vehicle
accelerates, it does not oscillate and create disturbances during riding or driving
3. any real oscillatory system like a yo-yo, clock pendulum, or guitar string

2. Detail the processes of the sample.


a. Equation of motion
1. A freely falling body dropped from a height. It has zero initial velocity but has
acceleration which is nothing but the acceleration due to gravity that is
uniform.
2. A car from stopped starts to accelerate for a given time.
3. A seated subject is rotated on a turntable and while free to move, always faces
the center of rotation.
b. Response of an Undamped System
1. An equilateral triangle made up of three individual bars and hanged on the
ceiling in one of the three corners.
2. An archery attached to a wall with a spring. An archer shoots an arrow which
sticks into the target.
3. a system of a child sitting still on a playground swing
c. Response of a Damped System
4. Shock absorbers in automobiles and carpet pads
5. Speedometers are critically damped instruments so that when the vehicle
accelerates, it does not oscillate and create disturbances during riding or driving
6. any real oscillatory system like a yo-yo, clock pendulum, or guitar string

3.

4. A 1.30 x 103-kg car is constructed on a frame supported by four springs. Each spring has a spring
constant 2 x 104 N/m. If two people riding in the car have a combined mass of 1.60 x 102 kg,
find the frequency of vibration of the car when it is driven over a pothole in the road. Find also
the period and the angular frequency. Assume the weight is evenly distributed.
Solution:
1
m= ( mcar +m pass )
4
1
m= ¿
4
m=365 kg

√
4N
2 x 10
f=
1
2π
𝑓=1.18 𝐻𝑧
√ k 1
= =
m 2π
m
365 kg

ω=2 πf =2 ( π ) ( 1.18 Hz )
rad
ω=7.41
s
5. What are the position, velocity and acceleration of an object vibrating at the end of a horizontal
spring after 1 minute if the equation for its position is x=( 500 mm ) cos (π 8 t) ?
Solution:

6. Find the amplitude, frequency, and period of motion for an object vibration at the end of a
horizontal spring if the equation for its position as a function of time is
x=(0.250 m) cos( π 800 t )
a. Find the maximum magnitude of the velocity and acceleration.
b. What is the position, velocity, and acceleration of the object after 100 s has elapsed.

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