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A few more variables need to be factored in: * the speed at which the ball is moving at the top of its path, v. * gravitational field strength, g. * the mass of the ball, m. (The mass of the string is neglected.) The ball's acceleration towards the centre of its circular trajectory is given by v2/r therefore the force required to keep it in this trajectory is mv2/r from Newton's second law of motion. This force is supplied jointly by the weight of the ball, mg, and the tension in the string, T. Therefore T = (mv2/r) - mg The minimum possible value of T is actually zero. This will occur when the ball is moving so slowly that its centripetal force can be supplied entirely by its weight, without pulling on the string. In other words: v2m/r = mg v2/r = g Therefore, to achieve minimum tension use: vmin = sqrt(gr) If the velocity falls below sqrt(gr) the ball will drop inwards from its circular path.
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What is the significance of a vertical circle free-body diagram in analyzing the motion of an object moving in a vertical circle?
A vertical circle free-body diagram is important in analyzing the motion of an object moving in a vertical circle because it helps to identify and understand the forces acting on the object at different points in the circle. This diagram shows the forces such as gravity, tension, and centripetal force, which are crucial in determining the object's speed, direction, and stability throughout the circular motion. By examining these forces, we can predict and explain the object's behavior in the vertical circle more accurately.
How does motion in a vertical circle differ from that in a horizontal circle?
During motion in a vertical circle, the force of gravity (weight of the object) is in the same direction as the motion for half the time and in the opposite direction for the rest.For a body moving in a horizontal circle, gravity is acting orthogonally to the motion at all times.During motion in a vertical circle, the force of gravity (weight of the object) is in the same direction as the motion for half the time and in the opposite direction for the rest.For a body moving in a horizontal circle, gravity is acting orthogonally to the motion at all times.During motion in a vertical circle, the force of gravity (weight of the object) is in the same direction as the motion for half the time and in the opposite direction for the rest.For a body moving in a horizontal circle, gravity is acting orthogonally to the motion at all times.During motion in a vertical circle, the force of gravity (weight of the object) is in the same direction as the motion for half the time and in the opposite direction for the rest.For a body moving in a horizontal circle, gravity is acting orthogonally to the motion at all times.
A rock attached to a string swings in a vertical circle which free body diagram shows the forces on the rock at the highest point?
At the highest point of its swing, the string tension and the force of gravity acting downwards will be the only forces on the rock. The tension force will point downward and the gravitational force will point towards the center of the circle.
What provides the centripetal force for a basket being whirled in a vertical circle?
The tension force in the string provides the centripetal force for a basket being whirled in a vertical circle. The tension force acts towards the center of the circle, keeping the basket moving in a circular path.
If a object is tied to a cord and spun in a vertical circle how to calculate the tension at the top of the circle if the radius is 0.7m the speed is 3.26 meters per second and the ball weighs .160kg?
You can calculate the tension at the top of the circle using the equation: T = m(v^2/r + g), where T is the tension, m is the mass of the object (0.160 kg), v is the speed (3.26 m/s), r is the radius (0.7 m), and g is the acceleration due to gravity (9.81 m/s^2). Plug in these values to find the tension at the top of the circle.
A father swings his child around in a circle The source of the centripetal force that keeps the child moving in a circle is friction or weight or gravity?
The source of the centripetal force that keeps the child moving in a circle is tension in the rope or the father's grip. This force is directed towards the center of the circular motion and prevents the child from flying off tangentially. Gravity and weight also play a role in the overall forces acting on the child but are not the direct source of the centripetal force in this scenario.
When an object is in motion in a circle it has?
Vertical Velocity
What logo has orange circle with vertical line?
Ing
What keeps things moving in a circle?
gravity keeps us in a circle
What is the cross section of a structural dome most simiar to?
If horizontal, a circle. If vertical, a semi-circle.
When an object moves in a circle what acts to accelerate the object torward the center of that circle?
The centripetal force acts to accelerate the object toward the center of the circle. This force is directed inward and is required to keep the object moving in a circular path. It is provided by tension, gravity, friction, or any force that is directed towards the center of rotation.
What shape does vertical cross section of a sphere create?
a circle !
