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You swing a 1.65-kg rock tied to a rope in a vertical circle of radius 0.75 m. When the rock reaches the top its speed in 3.25 m/s.
A.) Calculate the acceleration of the rock at the top and show it's direction.
B.) Calculate the tension in the rope at the top of the circle.
C.) What minimum speed should the rock have at the top for the rope to remain barely taut?
D.) With minimum speed at the top in part (d), what will be the speed of the rock when it comes to the bottom? Neglect air resistance and use of conservation of energy.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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