A solid sphere of radius R is placed at a height of 36 cm on a...
A solid sphere of radius R is placed at a height of 36 cm on a 15∘ slope. It is released and rolls, without slipping, to the bottom. From what height should a circular hoop of radius R be released on the same slope in order to equal the sphere's speed at the bottom?
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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...
Q10 A hollow sphere and a hoop of the same mass and radius are released at...
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
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 solid homogeneous sphere of mass M = 4.70 kg is released from rest at the...
A solid homogeneous sphere of mass M = 4.70 kg is released from
rest at the top of an incline of height H=1.21 m and rolls without
slipping to the bottom. The ramp is at an angle of θ = 27.7o to the
horizontal.
a) Calculate the speed of the sphere's CM at the bottom of the
incline.
b) Determine the rotational kinetic energy of the sphere at the
bottom of the incline.
(11 points) A uniform solid sphere of mass m and radius r is placed inside a...
(11 points) A uniform solid sphere of mass m and radius r is placed inside a hemispherical bowl of radius R. The sphere is released from rest at an angle theta and rolls without slipping. (a) (6 points) Using Conservation of Energy, to find an expression for the angular speed of the sphere when it reaches the lowest point of the bowl. (b) (6 points) Find the magnitude of the centripetal acceleration of the center of mass of the sphere...
A uniform, solid sphere of radius 5.00 cm and mass 1.75 kgstarts with a purely translational...
A uniform, solid sphere of radius 5.00 cm and mass 1.75 kgstarts with a purely translational speed of 3.25 m/s at the top of an inclined plane. The surface of the incline is 1.75 m long, and is tilted at an angle of 24.0∘with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2at the bottom of the ramp.
A uniform, solid sphere of radius 5.00 cm and mass 4.75 kg starts with a purely...
A uniform, solid sphere of radius 5.00 cm and mass 4.75 kg starts with a purely translational speed of 1.75 m/s at the top of an inclined plane. The surface of the incline is 1.50 m long, and is tilted at an angle of 26.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp. ?2=
A uniform, solid sphere of radius 4.00 cm and mass 2.25 kg starts with a purely...
A uniform, solid sphere of radius 4.00 cm and mass 2.25 kg starts with a purely translational speed of 2.25 m/s at the top of an inclined plane. The surface of the incline is 1.75 m long, and is tilted at an angle of 33.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp.
A uniform, solid sphere of radius 4.00 cm and mass 4.50 kg starts with a purely...
A uniform, solid sphere of radius 4.00 cm and mass 4.50 kg starts with a purely translational speed of 2.25 m/s at the top of an inclined plane. The surface of the incline is 2.75 m long, and is tilted at an angle of 33.0" with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed v2 at the bottom of the ramp. v2 = _______ m/s
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...
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
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 solid homogeneous sphere of mass M = 4.70 kg is released from
rest at the top of an incline of height H=1.21 m and rolls without
slipping to the bottom. The ramp is at an angle of θ = 27.7o to the
horizontal.
a) Calculate the speed of the sphere's CM at the bottom of the
incline.
b) Determine the rotational kinetic energy of the sphere at the
bottom of the incline.
(11 points) A uniform solid sphere of mass m and radius r is placed inside a hemispherical bowl of radius R. The sphere is released from rest at an angle theta and rolls without slipping. (a) (6 points) Using Conservation of Energy, to find an expression for the angular speed of the sphere when it reaches the lowest point of the bowl. (b) (6 points) Find the magnitude of the centripetal acceleration of the center of mass of the sphere...
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