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If a body is moving from left to right or right to left it is linear motion in x- direction. It is also called one dimensional motion.
If a body is moving up to down or down to up it is linear motion in y- direction. It is also called one dimensional motion.
But if a body is moving forward as well as downward it travels in X direction and in y direction at the same time. Such a motion is called two dimensional motion.
E.g motion of a ball.
Attachment shows path of two dimensional motion of a ball.
Answer:
(a) 20,154.1 J
(b) 95,223.5 J
Explanation:
The expression for the moment of inertia for the uniform solid cylinder is as follows;
Here, I is the moment of inertia, r is the radius and m is the mass of the object.
The expression for the rotational kinetic energy is as follows;
Here, K is the rotational kinetic energy and is the angular velocity.
(a)
Calculate the moment of inertia of the smaller solid cylinder.
Put m= 3.44 kg and r= 0.356 m.
Calculate the rotational kinetic energy of the smaller cylinder.
Put and
.
K= 20,154.1 J
Therefore, the rotational kinetic energy for the smaller cylinder is 20,154.1 J.
(b)
Calculate the moment of inertia of the larger solid cylinder.
Put m= 3.44 kg and r= 0.775 m.
Calculate the rotational kinetic energy of the smaller cylinder.
Put and
.
K= 95,223.5 J
Therefore, the rotational kinetic energy for the larger cylinder is 95,223.5 J.