Explanation:
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Answer:
Explanation:
r(t) = A(cos wt i + sin wt f)
= A cos wt i + A sin wt j
x = A cos wt
y = A sin wt
radius r
r² = x² + y² ( This is equation of a circle with radius r )
= A² cos² wt +A² sin² wt
= A²
r = A
radius r = A
b )
speed = dr/dt
v = - Aw sinwt i + Aw coswt j
magnitude of velocity
I v I= Aw √(sin²wt + cos²wt)
= Aw ( constant )
acceleration
= dv / dt = - Aw² cos wt - Aw² sinwt
magnitude of acceleration
I a I = Aw²
= r w²
d ) centripetal force = m acceleration
m w² A
=
Answer:
The moment of inertia of a slender uniform rod of length L about an axis at one end perpendicular to the rod is .
Explanation:
Let be an uniform rod of length L whose origin is located at one one end and axis is perpendicular to the rod, such that:
Where:
- Linear density, measured in kilograms per meter.
- Mass of the rod, measured in kilograms.
- Distance of a point of the rod with respect to origin.
Mass differential can translated as:
The equation of the moment of inertia is represented by the integral below:
(as )
The moment of inertia of a slender uniform rod of length L about an axis at one end perpendicular to the rod is .
True. The question describes the idea of energy conservation faithfully. Energy can change forms but remains the same within an isolated system over time. Within such a system, energy cannot be created or destroyed.
The average speed is 10 m/s.
Explanation:
The motion of the object is divided into two parts.
In the first part, the object covers a distance of
In a time interval of
In the second part, the object is a t rest, so it covers a distance of
In a time interval of
The average speed for the trip is given by the ratio between the total distance and the total time taken, therefore:
Learn more about average speed:
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