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AP Physics C FRQ
3. A sphere of mass m and radius r is released from...
Consider a solid sphere of mass m and radius r being released from a height h...
Consider a solid sphere of mass m and radius r being released
from a height h (i.e., its center of mass is initially a height h
above the ground). It rolls without slipping and passes through a
vertical loop of radius R.
a. Use energy conservation to determine the tangential and
angular velocities of the sphere when it reaches the top of the
loop.
b. Draw a force diagram for the sphere at the top of the loop
and write...
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...
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...
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...
Scenario A thin hoop of mass M and radius R is released from rest at the...
Scenario A thin hoop of mass M and radius R is released from rest at the top of a ramp of length L as shown at right. The ramp makes an angle with respect to a horizontal tabletop to which the ramp is fixed. The table top is height H above the floor. Assume that the hoop rolls without slipping down the ramp and across the table. Express all algebraic answers in terms of given quantities and fundamental constants. PARTC:...
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 ball of mass M and radius R has a rotational inertia of · The...
* 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
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...
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 cylinder of radius R=15.0cm and mass m=900g is released from rest at the top of...
A cylinder of radius R=15.0cm and mass m=900g is released from rest at the top of an incline of height h=10.0m. It rolls, without slipping, to the bottom of the incline. Calculate cylinder's: a)moment of inertia about its center of rotation. b)angular velocity at the bottom of the incline.
Consider a solid sphere of mass m and radius r being released
from a height h (i.e., its center of mass is initially a height h
above the ground). It rolls without slipping and passes through a
vertical loop of radius R.
a. Use energy conservation to determine the tangential and
angular velocities of the sphere when it reaches the top of the
loop.
b. Draw a force diagram for the sphere at the top of the loop
and write...
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...
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...
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...
Scenario A thin hoop of mass M and radius R is released from rest at the top of a ramp of length L as shown at right. The ramp makes an angle with respect to a horizontal tabletop to which the ramp is fixed. The table top is height H above the floor. Assume that the hoop rolls without slipping down the ramp and across the table. Express all algebraic answers in terms of given quantities and fundamental constants. PARTC:...
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 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
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...
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...
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