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Q. A uniform diving board, of length "(X)" m and weight 400 N, is supported at two points; one support is located "(3X/4)" from the end of the board and the second is at "(X/4)" from the end. What are the forces acting on the board due to the two supports when a diver of mass 75 kg stands at the end of the board over the water? Assume that these forces are vertical.
Q. An electric field of intensity 2.5 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.70 m long if the following conditions are true:
(a) The plane is parallel to the yz-plane.(b) The plane is parallel to the xy-plane.(c) The plane contains the y-axis, and its normal makes an angle of 45° with the x-axis.
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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