Question 2 Radius of the dome is R Find: A) the minimum speed vor such that the

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Question 2

Radius of the dome is R Find: A) the minimum speed vor such that the ball will never touch the dome during its flight. B) Under the above condition, where will the ball hit the ground (find x- value). 2. Note the given information in the figure. String is wrapped around cylinder of radius r. Cylinder is initially at rest and is1 free to rotate counter clockwise 6.0 cm r=wwom=3.0 cm a, 1.5 m/s2 2 as shown. The string is then pulled with acceleration of ar (constant) until it is unwound Fn without slipping a length Ax. Calculate cylinder's angular speed, in rpm, at this time? +x Find: O Husain and Joshua want to measure the charge of an electron by sending charged oil drops of mass m through home-made parallel plate capacitors. They took two large sheets of aluminum foils and charge them by a method which they kept secret. However their charging mechanism produeed non-uniform charge on each plate. They set up their experiment as shown. Hussain 3. g the trajectory of the a single oil drop for several times, concluded that the oil drops experienced an upward force that varies with time. He modeled the force to be F = ct) where c is tnd forrr Fis acting upward. Hussain separated the

Explanation / Answer

final linear speed is vf^2 - vit^2 = 2*at*dx

vf^2 - 0 ^2 = 2*1.5*1

vf = sqrt(2*1.5) = 1.732 m/sec

but angular speed is wf = vf/r = 1.732/0.03 = 57.73 rad/s = 57.73*60/(2*3.142) = 551.2 rpm

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