A tire 0.500 m in radius rotates at a constant rate of 200 rev/min. Find the speed and acceleration of a small stone lodged in t
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Answer:
Explanation:
<u>Displacement Vector</u>
Suppose an object is located at a position
and then moves at another position at
The displacement vector is directed from the first to the second position and can be found as
If the position is given as magnitude-angle data ( z , α), we can compute its rectangular components as
The question describes the situation where the initial point is the base of the mountain, where both components are zero
The final point is given as a 520 m distance and a 32-degree angle, so
The displacement is
To develop this problem it is necessary to apply the concepts related to the Cross Product of two vectors as well as to obtain the angle through the magnitude of the angles.
The vector product between the Force and the radius allows us to obtain the torque, in this way,
Therefore the torque on the particle about the origen is 50k
PART B) To find the angle between two vectors we apply the definition of the dot product based on the vector quantities, that is,
Therefore the angle between the ratio and the force is 103.88°