Which of the following is a false statement? Select one:
1 answer:
Answer:
The false statement is in option 'd': The center of mass of an object must lie within the object.
Explanation:
Center of mass is a theoretical point in a system of particles where the whole mass of the system is assumed to be concentrated.
Mathematically the position vector of center of mass is defined as
where,
is the position vector of the mass dm.
As we can see for homogenous symmetrical objects such as a sphere,cube,disc the center of mass is located at the centroid of the shapes itself but in many shapes it is located outside the body also.
Examples of shapes in which center of mass is located outside the body:
1) Horseshoe shaped body.
2) A thin ring.
In many cases we can make shapes of bodies whose center of mass lies outside the body.
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Answer:
Explanation:
<u>Average Density </u>
The density of an object of mass m and volume V is
If we know the density and the volume occupied by the object, the mass can be computed as
The tank can hold 20 L of gasoline when full. Converting to cubic meters
That's the volume of the gasoline it contains. Knowing the density of the gasoline, we get the mass of gasoline.
To know the total mass of both, we add the 2.5 kg of the tank
The volume of the tank is computed solving for V
The total volume is
The average density is
Explanation:
The linear analog of angle is angle itself.
The linear analog of angular velocity is linear velocity.
ω is angular velocity, therefore linear velocity is given by v
∴ for linear velocity,
for angular velocity,
The linear analog of angular acceleration is acceleration.
α is angular acceleration whereas as a is linear acceleration.
∴ for linear acceleration, v = u + a.t
for angular acceleration,
The linear analog of moment of inertia is mass.
I is moment of inertia and m is mass,
∴ for linear analog, F = m.a
for angular analog, τ - I.α