Answer:
The angular acceleration of the wheel is 15.21 rad/s².
Explanation:
Given that,
Time = 5 sec
Final angular velocity = 96.0 rad/s
Angular displacement = 28.0 rev = 175.84 rad
Let
be the angular acceleration
We need to calculate the angular acceleration
Using equation of motion

Put the value in the equation

......(I)
Again using equation of motion

Put the value in the equation

On multiply by 5 in both sides
....(II)
On subtract equation (I) from equation (II)




Hence, The angular acceleration of the wheel is 15.21 rad/s².
Answer:

Explanation:
The instantaneous velocity of a point mass that executes a simple harmonic movement is given by:

Where:

Express the amplitude in meters:

The angular frequency can be found using the next equation:

Using the data provided:

At the equilibrium position:


Answer:
Explanation:
Given that,
Weight of jet
W = 2.25 × 10^6 N
It is at rest on the run way.
Two rear wheels are 16m behind the front wheel
Center of gravity of plane 10.6m behind the front wheel
A. Normal force entered on the ground by front wheel.
Taking moment about the the about the real wheel.
Check attachment for better understanding
So,
Clock wise moment = anti-clockwise moment
W × 5.4 = N × 16
2.25 × 10^6 × 5.4 = 16•N
N = 2.25 × 10^6 × 5.4 / 16
N = 7.594 × 10^5 N
B. Normal force on each of the rear two wheels.
Using the second principle of equilibrium body.
Let the rear wheel normal be Nr and note, the are two real wheels, then, there will be two normal forces
ΣFy = 0
Nr + Nr + N — W = 0
2•Nr = W—N
2•Nr = 2.25 × 10^6 — 7.594 × 10^5
2•Nr = 1.491 × 10^6
Nr = 1.491 × 10^6 / 2
Nr = 7.453 × 10^5 N