Riding a Loop-the-Loop. A car in an amusement park ride rolls without friction around a track. The car starts from rest at point A at a heighth above the bottom of the loop. Treat the car as a particle. (a) What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)? (b) If h = 3.50R and R = 14.0 m, compute the speed and radial acceleration at point C at which is halfway down to the bottom of the circular path? Hint: Solve for minimum speed at the top of the loop. Use net force F = mg =mv^2/R where normal force N = 0 at minimum speed. B CR
Riding a Loop-the-Loop. A car in an amusement park ride rolls without friction around a track. The car starts from rest at point A at a heighth above the bottom of the loop. Treat the car as a particle. (a) What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)? (b) If h = 3.50R and R = 14.0 m, compute the speed and radial acceleration at point C at which is halfway down to the bottom of the circular path? Hint: Solve for minimum speed at the top of the loop. Use net force F = mg =mv^2/R where normal force N = 0 at minimum speed. B CR
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Transcribed Image Text:2. INSTRUCTIONS:
Show the 'free body diagrams' completely.
- Show all equations obtained from the free body diagrams, and how equations
are derived from the FBD.
- Show all solutions completely.
Riding a Loop-the-Loop. A car in an amusement park ride
rolls without friction around a track. The car starts from rest
at point A at a heighth above the bottom of the loop. Treat
the car as a particle. (a) What is the minimum value of h (in
terms of R) such that the car moves around the loop
without falling off at the top (point B)? (b) If h = 3.50R and
R = 14.0 m, compute the speed and radial acceleration at
point C at which is halfway down to the bottom of the circular path? Hint: Solve for minimum
speed at the top of the loop. Use net force F = mg =mv^2/R where normal force N = 0 at minimum
speed.
B
COR
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Step 1: Know the concept to be used:
VIEWStep 2: (a) Draw the free-body diagram and find the expression for the minimum speed at point B:
VIEWStep 3: Find the expression for the minimum height required:
VIEWStep 4: (b) Find the expression for the speed of the object at point C:
VIEWStep 5: Calculate the speed of the object at point C:
VIEWStep 6: Calculate the radial acceleration of the object at point C:
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