28. A car with an initial velocity of 24.5 m/s east has an
1 answer:
The displacement of the car after the given final velocity is 31.59 m.
The given parameters;
- Initial velocity of the car, u = 24.5 m/s east
- Final velocity of the car, v = 18.3 m/s east
- Acceleration of the car, a = 4.2 m/s²
The displacement of the car after the given final velocity is obtained by applying the third kinematic equation as shown below;
v² = u² + 2as
Thus, the displacement of the car after the given final velocity is 31.59 m.
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(a)
<u>Explanation:</u>
Given:
Moment of Inertia of m₁ about the axis, I₁ = m₁x²
Moment of Inertia of m₂ about the axis. I₂ = m₂ (L - x)²
Kinetic energy is rotational.
Total kinetic energy is
Work done is change in kinetic energy.
To minimize E, differentiate wrt x and equate to zero.
Alternatively, work done is minimum when the axis passes through the center of mass.
Center of mass is at