Tension with circular motion on incline refers to the force that is experienced by an object as it travels in a circular path along an inclined surface. This force is exerted by the string or rope that is attached to the object and is constantly changing in direction and magnitude as the object moves.
The tension in circular motion on incline is affected by several factors including the mass of the object, the speed at which it is moving, the angle of the incline, and the radius of the circular path. These factors determine the centripetal force required to keep the object moving in a circular path and therefore, affect the tension.
The tension in circular motion on incline can be calculated using the formula T = mv²/r + mg sinθ, where T is the tension, m is the mass of the object, v is the speed, r is the radius of the circular path, g is the acceleration due to gravity, and θ is the angle of the incline.
Yes, tension is always present in circular motion on incline as it is required to provide the necessary centripetal force to keep the object moving in a circular path. Without tension, the object would move in a straight line and not along the incline.
The angle of the incline has a significant effect on the tension in circular motion. As the angle increases, the tension also increases because the centripetal force required to keep the object moving in a circular path also increases. This is because the component of the object's weight along the incline also increases with the angle, requiring a higher tension to balance it out.