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1. A car is driving around a bank curve such that it can safely go around a circular curve at a given velocity, vo, even when on ice (zero friction). Any slower and the car would slide down towards the center of the circle, any faster and the car would slide up the hill and away from the center of the circle. If a static frictional coefficient, µs, is introduced then the car can safely navigate around the curve at any speed between a minimum speed of vmin and a maximum speed of vmax. Can you find expressions for vmin and vmax as a function of vo, µs and the radius of the road, R.2. In the system shown three masses are connected via string and a series of pulleys to one another.
Find the acceleration of all blocks. Do not assume the slope to be frictionless, but assume that block A is in motion. 3. In a cardiac stress test the patient is required to walk on an inclined treadmill. Imagine that the patients mass is 80 kg and that the inclined treadmill is at a slope of 15o. The efficiency of the human body can be taken to be 25%.
a) Obtain an expression for the power required by the patient to maintain a velocity of 3 m/s-1.
b) How long would the patient have to walk on the treadmill to burn the energy contained in a bottle of beer, a slice of pizza and a jelly doughnut?
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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Questions on blackbody, Infra-Red Detectors & Optic Lens and Digital Image.
Illustrate the cause of the components accelerating from rest down the conveyor.
Calculate the dc voltage applied to the circuit.
Quadrupole moments in the shell model
Determine the tension in each string
Calculate the smallest coefficient of static friction necessary for mass A to remain stationary.
Evaluate maximum altitude?
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