In lab 1, you placed a small metal ball of mass m and radius r on a track at height h and released the ball. You then calculated the speed of the ball when it reaches the bottom of the track, ignoring the change in rotational kinetic energy of the ball. Solve this problem again by including the change in rotational kinetic energy of the ball.
Reflection suggestion: Compare the speed calculated using rotational energy to the speed calculated without using rotational energy
In lab 1, you placed a small metal ball of mass m and radius r on...
A small solid glass sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest loop. The sphere is then released from rest, and it rolls on the track without slipping. In your analysis, use the approximation that the radius radius R of the loop and the height h. (Use the following as necessary: M, R, and g for the acceleration of gravity.) Solid sphere of mass...
A small solid porcelain sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest point is at a height h above the bottom of the loop. The sphere is then released from rest, and it rolls on the track without slipping. In your analysis, use the approximation that the radius r of the sphere is much smaller than both the radius R of the loop and...
Questions 1-2 A ball of mass m and radius r (moment of inertia lmm) is placed on the inside of1 a frictionless circular track of radius Ro as shown in the igure. It starts from rest at the vertical edge of the track, and since there is no friction, it slides down without rotation. 1. What will be the speed of its center of mass when it reaches the lowest point B of the track?
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0∘ incline that is 10.0 m long. Calculate its translational speed when it reaches the bottom. Calculate its rotational speed when it reaches the bottom. What is the ratio of translational to rotational kinetic energy at the bottom?
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0∘ incline that is 10.0 m long. Calculate its translational speed when it reaches the bottom. Calculate its rotational speed when it reaches the bottom. What is the ratio of translational to rotational kinetic energy at the bottom?
AP Physics C FRQ
3. A sphere of mass m and radius r is released from rest at the top of a curved track of height H. The sphere travels down the curved track and around a loop of radius R. The sphere rolls without slipping during the entire motion. Point A on the loop is at height R, and point B is at the top of the loop. The rotational inertia of the sphere is 2mr2/s. Express all of...
* A ball of mass M and radius R has a rotational inertia of · The ball is released from rest and rolls without slipping down the ramp with no frictional loss of energy. The ball is projected vertically upward off a ramp as shown in the diagram, reaching a maximum height yaz above the point where it leaves the ramp. In terms of h, ymar is
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...
As part of an experiment in physics lab, small metal ball of
radius r = 2.4 cm rolls without slipping down a ramp and around a
loop-the-loop of radius R = 3.7 m. The ball is solid with a uniform
density and a mass M = 396 g.
1)
How high above the top of the loop must it be released in order
that the ball just makes it around the loop?
m
2)
Now instead of a sphere, what...
A spherical bowling ball with mass m = 4 kg and radius R = 0.114
m is thrown down the lane with an initial speed of v = 8.7 m/s. The
coefficient of kinetic friction between the sliding ball and the
ground is ? = 0.32. Once the ball begins to roll without slipping
it moves with a constant velocity down the lane.
1)
What is the magnitude of the angular acceleration of the bowling
ball as it slides down...