Answer:
you never mentioned the options
Answer:
1) A=282.6 mm
2)
3)T=0.42 sec
4)f= 2.24 Hz
Explanation:
Given that
V=3.5 m/s at x=150 mm ------------1
V=2.5 m/s at x=225 mm ------------2
Where x measured from mid position.
We know that velocity in simple harmonic given as

Where A is the amplitude and ω is the natural frequency of simple harmonic motion.
From equation 1 and 2
------3
--------4
Now by dividing equation 3 by 4


So A=0.2826 m
A=282.6 mm
Now by putting the values of A in the equation 3


ω=14.609 rad/s
Frequency
ω= 2πf
14.609= 2 x π x f
f= 2.24 Hz
Maximum acceleration



Time period T


T=0.42 sec
Answer:
x=2.19in
Explanation:
This is the equation that relates the force and displacement of a spring
F=Kx
m=mass=12.5lbx1slug/32.14lb=0.39slug
F=mg=0.39*32.2=12.52Lbf
then we calculate the spring count in lbf / ft
K=F/x
K=5.7lbf/1in=5.7lbf/in=68.4lbf/ft
Finally we calculate the displacement with the initial equation
X=F/k
x=12.52/68.4=0.18ft=2.19in
Answer:
a. Composition of Vector.
Explanation:
When a bird flies in the air, it stretches its wings into air and this movement helps it move in a certain direction. This is an example of composition of vector. Air strikes the wings in opposite direction and bird wing movement helps it move against the wind.