I don't get the right hand rule that apply to rotational dynamics. How could I use to solve a torque problem and how to know when its positive and what is negative.
The right hand rule for rotational dynamics is a tool used to determine the direction of rotational motion. It states that if you curl the fingers of your right hand in the direction of rotation, then your thumb will point in the direction of the angular velocity vector.
The right hand rule is important because it helps us understand the relationship between angular velocity and linear velocity in rotational motion. It also allows us to determine the direction of forces and torques acting on an object in rotational motion.
To apply the right hand rule, first identify the axis of rotation and the direction of rotation. Then, point your right hand's fingers in the direction of rotation and curl them towards the axis of rotation. Your thumb will now point in the direction of the angular velocity vector.
If you use your left hand instead of your right hand for the right hand rule, the direction of the angular velocity vector will be reversed. This is because the right hand rule is based on the convention that rotations are positive in the counterclockwise direction.
Yes, the right hand rule can be applied in three-dimensional space. In this case, the direction of rotation will be determined by the curl of your fingers in the direction of the rotation around the axis of rotation, and the direction of the angular velocity vector will be determined by the direction of your thumb.