A homogenous sphere of mass M = 1.61 kg and radius R = 12.82 cm starts...
A homogenous sphere of mass M = 1.61 kg and radius R = 12.82 cm starts from rest at the upper end of the track (height H = 1.13 m) shown in the Figure and rolls without slipping until it rolls off the right-hand end (height h = 0.74 m). The track is horizontal at the right-hand end. What is the distance to the right of point A at which the ball strikes the horizontal base line?
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A homogenous sphere of mass M = 1.61 kg and radius R =
12.82 cm starts...
A uniform solid sphere of radius r=8.60 cm starts from rest at a height h and...
A uniform solid sphere of radius r=8.60 cm starts from rest at a
height h and rolls without slipping along the loop-the-loop track
of radius R=42.00 cm as shown in Figure 9-56. What is the smallest
value of h for which the sphere will not leave the track
at the top of the loop? (h is measured from the center of
the ball at the top of the ramp to the center of the ball at the
bottom of the...
A small solid porcelain sphere, with a mass m and radius r, is placed on the...
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...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
A sphere of mass M and radius R starts at rest and rolls without slipping down an incline and embeds itself in a hollow...
A sphere of mass M and radius R starts at rest and rolls without slipping down an incline and embeds itself in a hollow cube at the bottom that is only 1/5 its mass. If the incline is h tall and the table has a height of D from the floor, at what horizontal distance from the table do the two objects land? The cube/sphere combination leaves the incline moving horizontally.
A hollow sphere of mass m = 0.35 kg and radius r = 64 cm rolls...
A hollow sphere of mass m = 0.35 kg and radius r = 64 cm rolls along a flat surface at an initial speed of v, and then up a curved ramp with radius of curvature 4.7 m without slipping, until it reaches a maximum angle of 12 degrees around the curve and starts to roll backward. What was the initial speed of the ball in units of meters/second?
1. (20 points) A hollow sphere of radius r and mass m starts from rest and...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1. The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho will the sphere roll up the other side? Rough Smooth
A ball with a radius r and a mass m starts from rest and then rolls...
A ball with a radius r and a mass m starts from rest and then
rolls without slipping a distance L down a roof sloped at an angle
θ. The ball comes off the roof a height H above the ground. Derive
an expression for the ball’s speed v, just as it leaves the roof,
in terms of g, L, and θ:
A. If the ball is a solid sphere.
B.If the ball is a hollow sphere.
C. For each...
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest...
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...
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 small solid glass sphere, with a mass m and radius r, is placed on the...
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 uniform solid sphere of radius r=8.60 cm starts from rest at a
height h and rolls without slipping along the loop-the-loop track
of radius R=42.00 cm as shown in Figure 9-56. What is the smallest
value of h for which the sphere will not leave the track
at the top of the loop? (h is measured from the center of
the ball at the top of the ramp to the center of the ball at the
bottom of the...
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...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1. The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho will the sphere roll up the other side? Rough Smooth
A ball with a radius r and a mass m starts from rest and then
rolls without slipping a distance L down a roof sloped at an angle
θ. The ball comes off the roof a height H above the ground. Derive
an expression for the ball’s speed v, just as it leaves the roof,
in terms of g, L, and θ:
A. If the ball is a solid sphere.
B.If the ball is a hollow sphere.
C. For each...
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...
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