Please help answer questions 1,2 and 3. thank you! Q1: Using Figure 2 from Exper
ID: 1770323 • Letter: P
Question
Please help answer questions 1,2 and 3. thank you!
Q1: Using Figure 2 from Experiment 2, derive and equation for r, the distance between the axis of rotation and the point where the sphere touches the track, in terms of R, the radius of the sphere, and w, the width of the track Q2: Derive an equation for the velocity of the sphere down the track in terms of R, w, g, the acceleration due to gravity, and h, the height of the ball on the track. Q3: How do you think changing angle of the track would affect the motion of the sphere? How about changing the radius? How about changing the width of the track (assuming you could)? Note: This assignment will not be turned in for individual credit (you will not receive a separate score for this homework). However, it must be completed before your TA will allow you to proceed with Experiment 2 and its results must be included in the Lab Report. PHYSICS 2215- EXPERIMENT 2 Rolling Motion Steel Sphere Track-Explanation / Answer
1] By Pythagorous theorem, r = sqrt(R^2 - w^2/4)
2] Since it is pure rolling, By energy conservation 0.5 mv^2 + 0.5*2/5(mR^2)*(omega)^2 = mgh where omega = v/R
0.7 mv^2 = mgh
v = sqrt(gh/0.7)
3] On increasing angle, Velocity and angular velocity down the track will increase,
Changing radius or width wont effect.