Answer:
Their translational kinetic energies are the same
Explanation:
The translational kinetic energy of an object is given by the formula:
Where m = the mass of the object and
v = the linear speed of the object
From the question, it is stated that wheel A has the same mass as wheel B, that is
Linear speed is also a function of the distance covered. Since both wheels cover the same distance within the same interval, we can conclude that
Both wheels A and B have equal speed and mass, this means that their translational kinetic energy is the same.
Note that translational kinetic energy is not a function of the radius
Mathematically we know that the position is the integral of the velocity as a function of time, that is, the general formula for determining the position as a function of velocity would be given by
Here
represents the initial position, and the integral, the position with respect to the speed of the object within a certain time
Replacing and considering that there is no starting position,
Answer:
θ = cos^(-1) (-A/B)
Explanation:
The image of the reauktant forces A & B are missing, so i have attached it.
Now, from the attached image, we will see that;
Angle between A and B is θ
Also;
A = Bcos(180° − θ)
Now, in trigonometry, we know that;
cos(180° − θ) = -cosθ
Thus;
A = -Bcosθ
cosθ = -A/B
Thus;
θ = cos^(-1) (-A/B)
