Whether a force provides a torque depends on the axis of rotation you use. The force of gravity acts as if it were applied at an object's center of mass.visuality said:If there is a uniform ball rolling without slipping on an inclined plane, does gravity provide a torque, translational force, or both? I'm just really confused about forces vs. torques i guess?
If you already know an object's mass then you can simply multiply by the acceleration of gravity (9.8 meters per second2 on the surface of the earth) to get the force that gravity exerts on it.visuality said:This isn't a homework question I'm just trying to understand something, If i wanted to find the force of gravity with F=ma would i have to add the translational acceleration and the angular acceleration? Or do I ignore the translational acceleration? Or something else?
Torque and force are two different physical quantities that are related to each other in the context of ball rolling without slipping. Force is a vector quantity that describes the push or pull on an object, while torque is a vector quantity that describes the rotational effect of force on an object. In the case of a ball rolling without slipping, both torque and force are acting on the ball to cause it to roll.
Torque and force both contribute to the overall motion of a ball rolling without slipping. Force is responsible for the linear motion of the ball, while torque is responsible for the rotational motion. Together, they determine the speed and direction of the ball's movement.
In the context of ball rolling without slipping, the moment of inertia is a measure of the ball's resistance to rotational motion. The relationship between torque, force, and moment of inertia can be described by the equation τ = Iα, where τ is the torque, I is the moment of inertia, and α is the angular acceleration. This equation shows that torque and moment of inertia are directly proportional, while torque and angular acceleration are inversely proportional.
Friction is an important factor in determining the torque and force of a ball rolling without slipping. Friction between the ball and the surface it is rolling on creates a torque that opposes the direction of motion, resulting in a decrease in the ball's speed. This frictional force also contributes to the overall force acting on the ball, affecting its linear motion.
There are many real-life examples of torque and force in ball rolling without slipping. One example is a bowling ball rolling down the lane without slipping. In this case, the force and torque from the bowler's hand cause the ball to roll forward with both linear and rotational motion. Another example is a rolling pin used in cooking, where the force and torque from the hands cause the pin to roll and flatten dough. In both examples, the concept of torque and force are essential in understanding the motion of the rolling objects.