Is it possible for two spheres with same mass to have different moments of inertia? If...
Is it possible for two spheres with same mass to have different moments of inertia? If yes, when they rolled down an inclined plane with the same initial velocity, which one will reach the bottom first? Explain.
Homework Answers
Yes, it is possible for spheres with the same mass to have different moments of inertia. This can be observed in case of the difference in density and distribution of material in the sphere.example: a hollow sphere has different moment of inertia than a solid sphere having same dimensions and mass.
The one with less moment of inertia will have more velocity compared to the one with more moment of inertia hence the one with less moment if inertia will reach the bottom first.
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Is it possible for two spheres with same mass to have different
moments of inertia? If...
Two uniform spheres of identical mass and radius are placed on inclined planes at the same...
Two uniform spheres of identical mass and radius are placed on
inclined planes at the same height h and inclination angle θ. One
plane is rough and causes one sphere to roll down the plane; the
other is frictionless, and so the sphere on it slides down the
incline.
(a) Find the ratio of the kinetic energies of the two spheres at
the bottom of the incline: .
(b) Find the ratio of their speeds at the base of the...
8.) consider two balls rolling down an inclined plane. one ball has a moment of inertia...
8.) consider two balls rolling down an inclined plane. one ball has a moment of inertia I and the other has a moment of inertia 2I. both balls start from rest at the same height and have the same mass. which ball will reach the bottom of the inclined plane first? a. the ball with a moment of inertia I b. ball with a moment of inertia 2I c. same time d. it is impossible to tell with the given...
Two uniform spheres of identical mass and radius are placed on inclined planes at the same...
Two uniform spheres of identical mass and radius are placed on
inclined planes at the same height h and inclination angle θ. One
plane is rough and causes one sphere to roll down the plane; the
other is frictionless, and so the sphere on it slides down the
incline.
Find the ratio of the kinetic energies of the two spheres at the
bottom of the incline: .
A solid homogeneous cylinder and a thin cylindrical shell each have the same mass and radius....
A solid homogeneous cylinder and a thin cylindrical shell each have the same mass and radius. They are both released from rest at the same time and from the same elevation at the top of the same inclined plane. As they roll down the incline, they both roll without slipping. Which object will reach the bottom of the inclined plane first? A solid homogeneous cylinder B they both reach the bottom at the same time C thin cylindrical shell
A solid cylinder, solid sphere, and a thin hoop which have different masses and different radii,...
A solid cylinder, solid sphere, and a thin hoop which have different masses and different radii, roll without slipping down an incline plane. Which object reaches the bottom first? The moments of inertia are Icylinder = 1/2 MR2; Isphere = 2/5 MR2 and Ihoop = MR2. (A)The solid cylinder (B) The sphere (C) The thin hoop (D) They all reach the bottom at the same time.
Two spheres of equal mass M and equal radius R roll down an inclined plane as...
Two spheres of equal mass M and equal radius R roll down an
inclined plane as shown in the figure. One sphere is solid and the
other is a hollow spherical shell. The plane makes an angle ? with
respect to the horizontal. The spheres are released simultaneously
from rest at the top of the inclined plane and they each roll down
the incline without slipping.
The total distance each sphere rolls down the ramp (the
hypotenuse) is d. There...
Help 13.Two spheres of mass M and radius R are both released from rest at the...
Help
13.Two spheres of mass M and radius R are both released from rest at the top of a hill and allowed to roll to the bottom. One of the spheres is hollow however, while the other is solid. Which of the spheres reaches the bottom first? A) The hollow one B The solid one C) They reach the bottom at the same time D) It depends on the angle of inclination. E) It depends on the length of the...
Two discs with identical moments of inertia (initial inertia) begin separated one on the other rotating...
Two
discs with identical moments of inertia (initial inertia) begin
separated one on the other rotating around the same axis. The top
one is rotating in favor of the clock hands at 2.0 rad / s, and the
second one is rotating against the clock hands at 6.0 rad / s. If
we release the one above and the two identical discs collide
inelastically sticking. What will be the angular velocity just
after the collision when they are joined?
-...
help 13.Two spheres of mass M and radius R are both released from rest at the...
help
13.Two spheres of mass M and radius R are both released from rest at the top of a hill and allowed to roll to the bottom. One of the spheres is hollow however, while the other is solid. Which of the spheres reaches the bottom first? A) The hollow one B) The solid one C) They reach the bottom at the same time D) It depends on the angle of inclination. E) It depends on the length of the...
A solid cylinder is released from rest and rolls without slipping down an inclined plane. A...
A solid cylinder is released from rest and rolls without slipping down an inclined plane. A block with the same mass slides down another inclined plane, which is identical to the first inclined plane except that it is frictionless. If both the block and cylinder are released from the same height and at the same time, М. M o the cylinder will reach the bottom first. o the cylinder will reach the bottom with a greater kinetic energy, neither object...
Two uniform spheres of identical mass and radius are placed on
inclined planes at the same height h and inclination angle θ. One
plane is rough and causes one sphere to roll down the plane; the
other is frictionless, and so the sphere on it slides down the
incline.
(a) Find the ratio of the kinetic energies of the two spheres at
the bottom of the incline: .
(b) Find the ratio of their speeds at the base of the...
Two uniform spheres of identical mass and radius are placed on
inclined planes at the same height h and inclination angle θ. One
plane is rough and causes one sphere to roll down the plane; the
other is frictionless, and so the sphere on it slides down the
incline.
Find the ratio of the kinetic energies of the two spheres at the
bottom of the incline: .
A solid cylinder, solid sphere, and a thin hoop which have different masses and different radii, roll without slipping down an incline plane. Which object reaches the bottom first? The moments of inertia are Icylinder = 1/2 MR2; Isphere = 2/5 MR2 and Ihoop = MR2. (A)The solid cylinder (B) The sphere (C) The thin hoop (D) They all reach the bottom at the same time.
Two spheres of equal mass M and equal radius R roll down an
inclined plane as shown in the figure. One sphere is solid and the
other is a hollow spherical shell. The plane makes an angle ? with
respect to the horizontal. The spheres are released simultaneously
from rest at the top of the inclined plane and they each roll down
the incline without slipping.
The total distance each sphere rolls down the ramp (the
hypotenuse) is d. There...
Help
13.Two spheres of mass M and radius R are both released from rest at the top of a hill and allowed to roll to the bottom. One of the spheres is hollow however, while the other is solid. Which of the spheres reaches the bottom first? A) The hollow one B The solid one C) They reach the bottom at the same time D) It depends on the angle of inclination. E) It depends on the length of the...
Two
discs with identical moments of inertia (initial inertia) begin
separated one on the other rotating around the same axis. The top
one is rotating in favor of the clock hands at 2.0 rad / s, and the
second one is rotating against the clock hands at 6.0 rad / s. If
we release the one above and the two identical discs collide
inelastically sticking. What will be the angular velocity just
after the collision when they are joined?
-...
help
13.Two spheres of mass M and radius R are both released from rest at the top of a hill and allowed to roll to the bottom. One of the spheres is hollow however, while the other is solid. Which of the spheres reaches the bottom first? A) The hollow one B) The solid one C) They reach the bottom at the same time D) It depends on the angle of inclination. E) It depends on the length of the...
A solid cylinder is released from rest and rolls without slipping down an inclined plane. A block with the same mass slides down another inclined plane, which is identical to the first inclined plane except that it is frictionless. If both the block and cylinder are released from the same height and at the same time, М. M o the cylinder will reach the bottom first. o the cylinder will reach the bottom with a greater kinetic energy, neither object...
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