Final Examination Phys141-01 SP-2016 1. A child rolls a ball on a level floor 4.
ID: 1515447 • Letter: F
Question
Final Examination Phys141-01 SP-2016 1. A child rolls a ball on a level floor 4.0 m to another child If the ball makes 10 revolutions, what is its diameter? 2. Determine the moment of inertia of a 10 0 kg sphere of radius 0.65 m when the axis of rotation is through its center.(Use equation on Ch8 page 210) 3. Two cords supports a chandelier in the manner shown in the following figure. The upper cord makes a 45degree with the ceiling. Another cord is perpendicular to the wall. If the cords can sustain a force of 2100N without breaking it. What is the maximum weight of chandelier that can be supported? 4 How close to the edge of the 30-kg table shown in the following figure can a 70-kg person sit without tipping it over? 5. A bottle has a mass of 35.00g when empty and and 98.44g when filled with water. When filled with another fluid, the mass is 89.22g. What if the specific gravity of this other fluid? 6. What fraction of a piece of iron will be submerged when it floats in mercury?Explanation / Answer
distance = 4m
number of revolutions = 10
Since the ball makes 10 revolution and distance covered is 4m. Let us calculate the circumference for this travelling.
c = distance / number of revolution = 4 / 10 = 0.4m
Now , finding the diameter of the ball , we know that
c = 2pi ( d / 2)
c = pi d
d = c / pi = 0.4m / 3.14 = 0.127m
2. Moment of inertia = I = ?
mass = m = 10kg
radius = R = 0.65m
Moment of inertia of sphere is given by the following formula
I = (2/ 3) m R2
I = (2 / 3) (10)(0.65)2
I = 0.666(10)(0.65)2
I = 2.8166 kg . m2
This would be the moment of inertia of sphere around its central axis having the radius of o.65m.
NOte
As you are asking so many questions in a single post , please post rest of the question in another post for answer ........Thanks
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