2. How many of them are there? All you can see through the black night are...

Transcribed Image Text:

2. How many of them are there? All you can see through the black night are their flashing eyes - countless anxious reflections of your dying campfire flickering orange and red - but you can hear their heavy, restless paws beating the dusty ground in all directions, and their throaty panting surrounds you. They're hungry-slavering, yearning - but as long as you continue to swing the fishing line over your head, they remain outside the low circular arc described by the heavy metal ball at its end. The line is so thin it cuts like a blade into the flesh of your fingers that you worry it might break, but you also know that your wounded shoulder might give out before then. Can they smell your fear? Gravity pulls the ball at the end of the line toward the ground. The line has length and is effectively massless. The ball spins around you at a constant speed. If you want the line to tilt /12 radians below horizontal as shown, what should its period of oscillation be? You can barely see the ball through the rising dust, so concentrating on the timing of this is your only hope. Express your answer symbolically in terms of 1 and g and then find a numerical answer assuming that = 4 m and g = 10 m/s. 2. How many of them are there? All you can see through the black night are their flashing eyes - countless anxious reflections of your dying campfire flickering orange and red - but you can hear their heavy, restless paws beating the dusty ground in all directions, and their throaty panting surrounds you. They're hungry-slavering, yearning - but as long as you continue to swing the fishing line over your head, they remain outside the low circular arc described by the heavy metal ball at its end. The line is so thin it cuts like a blade into the flesh of your fingers that you worry it might break, but you also know that your wounded shoulder might give out before then. Can they smell your fear? Gravity pulls the ball at the end of the line toward the ground. The line has length and is effectively massless. The ball spins around you at a constant speed. If you want the line to tilt /12 radians below horizontal as shown, what should its period of oscillation be? You can barely see the ball through the rising dust, so concentrating on the timing of this is your only hope. Express your answer symbolically in terms of 1 and g and then find a numerical answer assuming that = 4 m and g = 10 m/s.