Imagine a ball with Icm = βMR2 encountering a circular loop of radius R0 > R,...
Imagine a ball with Icm = βMR2 encountering a circular loop of
radius R0 > R, after rolling on a level surface at a speed of
v0. Assume that the ball does not slip.
a) What is the minimum value of v0 required for the ball to reach the point where the track becomes vertical (i.e., θ = π/2)?
b) What is the minimum value of v0 required for the ball to reach the top of the track (i.e., θ = π)?
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Imagine a ball with Icm = βMR2 encountering a circular loop of
radius R0 > R,...
A ball enters a circular half-loop with the radius of 60cm. Thereafter the ramp is removed....
A ball enters a circular half-loop with the radius of 60cm.
Thereafter the ramp is removed.
(a) Represent the normal force, the force of gravity, the radial
and tangential components of the gravitational force, and the
velocities at each of the marked points, and work out the normal
forces. Your half-circle should be large enough to show the forces
clearly for each point.
(b) What is the minimum speed the ball must have at the top of
the loop in...
A section of a high speed test track is circular with a radius of curvature R...
A section of a high speed test track is circular with a radius
of curvature R = 1700 m.
At what angle of θ should the track be inclined so that a car
traveling at 77.0 m/s (172 mph) would keep moving in a circle if
there is oil on that section of the track, i.e., it would not slip
sideways even with zero friction on that section. (Hint: The car's
vertical acceleration is zero.)
A section of a high speed test track is circular with a radius of curvature R...
A section of a high speed test track is circular with a radius of curvature R = 1620 m. At what angle of θ should the track be inclined so that a car traveling at 65.0 m/s (145 mph) would keep moving in a circle if there is oil on that section of the track, i.e., it would not slip sideways even with zero friction on that section. (Hint: The car's vertical acceleration is zero.)
Problem 9 m,r A solid ball of mass m and radius r sits at rest at the top of a hill of height H l...
Problem 9 m,r A solid ball of mass m and radius r sits at rest at the top of a hill of height H leading to a circular loop-the loop. The center of mass of the ball will move in a circle of radius R if it goes around the loop. The moment of inertia of a solid ball is Ibull--mr. (a) Find an expression for the minimum height H for which the ball barely goes around the loop, staying...
A solid 0.4750-kg ball rolls without slipping down a track toward a loop-the-loop of radius R-...
A solid 0.4750-kg ball rolls without slipping down a track toward a loop-the-loop of radius R- 0.7150 m. What minimum translational speed Vmin must the ball have wher it is a height H- 1.062 m above the bottom of the loop, in order to complete the loop without falling off the track'? Number "min0.294 m/s figure not to scale
In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed....
In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed. The car has a mass m = 238 kg and moves with speed v = 14.35 m/s. The loop-the-loop has a radius of R = 8.1 m. A)What is the magnitude of the normal force on the care when it is at the bottom of the circle? (But as the car is accelerating upward.) B)What is the magnitude of the normal force on the...
A tennis ball is a hollow sphere with a thin wall It is set rolling without...
A tennis ball is a hollow sphere with a thin wall It is set rolling without slipping at 4.12 m/s on a horizontal section of a track as shown in the figure below. It rolls around the inside of a vertical circular loop of radius r = 46.7 cm. As the ball nears the bottom o the oop, the shape o the track deviates rom a perfect circe so that the bal eaves the track at a point 80 cm...
3. Suppose Alice constructs a road that has the shape of a vertical, circular loop with radius R 2m To be clear, by vertical loop it is meant that gravity points downwards as shown in the figure. Ali...
3. Suppose Alice constructs a road that has the shape of a vertical, circular loop with radius R 2m To be clear, by vertical loop it is meant that gravity points downwards as shown in the figure. Alice wants to drive her motorcycle around the loop such that at all times her motorcycle remains in contact with the road. a) What is the inim speed that Alice needs to travel at such that she does not fall when she is...
In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed....
In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed. The car has a mass m = 286 kg and moves with speed v = 13.82 m/s. The loop-the-loop has a radius of R = 8 m. 1) What is the magnitude of the normal force on the care when it is at the bottom of the circle? (But as the car is accelerating upward.) 2) What is the magnitude of the normal force...
In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed....
In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed. The car has a mass m = 296 kg and moves with speed v = 14.77 m/s. The loop-the-loop has a radius of R = 8.8 m. 1) What is the magnitude of the normal force on the care when it is at the bottom of the circle? (But as the car is accelerating upward.) N Submit 2) What is the magnitude of the...
A ball enters a circular half-loop with the radius of 60cm.
Thereafter the ramp is removed.
(a) Represent the normal force, the force of gravity, the radial
and tangential components of the gravitational force, and the
velocities at each of the marked points, and work out the normal
forces. Your half-circle should be large enough to show the forces
clearly for each point.
(b) What is the minimum speed the ball must have at the top of
the loop in...
A section of a high speed test track is circular with a radius
of curvature R = 1700 m.
At what angle of θ should the track be inclined so that a car
traveling at 77.0 m/s (172 mph) would keep moving in a circle if
there is oil on that section of the track, i.e., it would not slip
sideways even with zero friction on that section. (Hint: The car's
vertical acceleration is zero.)
Problem 9 m,r A solid ball of mass m and radius r sits at rest at the top of a hill of height H leading to a circular loop-the loop. The center of mass of the ball will move in a circle of radius R if it goes around the loop. The moment of inertia of a solid ball is Ibull--mr. (a) Find an expression for the minimum height H for which the ball barely goes around the loop, staying...
A solid 0.4750-kg ball rolls without slipping down a track toward a loop-the-loop of radius R- 0.7150 m. What minimum translational speed Vmin must the ball have wher it is a height H- 1.062 m above the bottom of the loop, in order to complete the loop without falling off the track'? Number "min0.294 m/s figure not to scale
A tennis ball is a hollow sphere with a thin wall It is set rolling without slipping at 4.12 m/s on a horizontal section of a track as shown in the figure below. It rolls around the inside of a vertical circular loop of radius r = 46.7 cm. As the ball nears the bottom o the oop, the shape o the track deviates rom a perfect circe so that the bal eaves the track at a point 80 cm...
3. Suppose Alice constructs a road that has the shape of a vertical, circular loop with radius R 2m To be clear, by vertical loop it is meant that gravity points downwards as shown in the figure. Alice wants to drive her motorcycle around the loop such that at all times her motorcycle remains in contact with the road. a) What is the inim speed that Alice needs to travel at such that she does not fall when she is...
In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed. The car has a mass m = 296 kg and moves with speed v = 14.77 m/s. The loop-the-loop has a radius of R = 8.8 m. 1) What is the magnitude of the normal force on the care when it is at the bottom of the circle? (But as the car is accelerating upward.) N Submit 2) What is the magnitude of the...
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