If your given two spheres of the same mass and radius that appears identical, could you...
Homework Answers
Determine their Moments of Inertia.
you could measure the moments of inertia of both the objects while spinning about any std. axis. Moment of Inertia is nothing but the rotational analogue of mass, i.e., while rotating a body about an axis, you would observe that it possesses some kind of mass.
Bodies that have high moment of inertia are harder to spin than the ones with low moment of inertia. An easy way to find the answer to this question would be to spin those balls about a standard axis. The ball that is harder to spin is the hollow ball. This is because, in a hollow ball, the particles are far away from the axis thus making it hard to spin as against a solid ball.
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If your given two spheres of the same mass and radius that
appears identical, could you...
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: .
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...
Rolling and Torque Two spheres of the same mass are positioned on a 100 meter...
Rolling and Torque Two spheres of the same mass are positioned on a 100 meter ramp with at 20 degree incline. Both spheres have a radius or 5 m and mass of 1000 kg (HUGE SPHERES, think Indiana Jones). The difference is how the mass is distributed. One sphere is completely solid with mass equally distributed throughout it. The second mass has all of its mass distributed at the edge of its radius in a thin shell. So, one...
Consider two metal spheres of the same radius and mass. Sphere A is given an initial...
Consider two metal spheres of the same radius and mass. Sphere A is given an initial net charge of q A =110 μC and Sphere B is given an initial net charge of q B =14.3 μC . The spheres are brought into contact with each other and then separated again. Calculate the final net charge on Sphere A.
Consider two metal spheres of the same radius and mass. Sphere A is given an initial...
Consider two metal spheres of the same radius and mass. Sphere A is given an initial net charge ofA-130 and Sphere B is given an initial net charge of qB = 12.1 μC . The spheres are brought into contact with each other and then separated again. Calculate the final net charge on Sphere A Enter answer here
Two uniform solid spheres have the same mass, 1.65 kg, but one has a radius of...
Two uniform solid spheres have the same mass, 1.65 kg, but one has a radius of 0.256 m while the other has a radius of 0.844 m. For each of the spheres, find the torque required to bring the sphere from rest to an angular velocity of 357 rad/s in 10.5 s. Each sphere rotates about an axis through its center. a)Torque on sphere with the smaller radius. b)Torque on sphere with the larger radius. c)For each sphere, what force...
3. Two identical spheres, A and B, made out of non-conducting (i.e. insulating) materials are given...
3. Two identical spheres, A and B, made out of non-conducting (i.e. insulating) materials are given identical charges, +q, uniformly distributed over their surfaces. They are placed so that their centers are separated by some distance, r. This distance is not much greater than the radius of the spheres. Two other identical spheres, C and D, are made out of metal. They are the same size as spheres A and B. They are also each given a charge, +q, and...
Two spheres have identical radii and masses. How might you tell which of these spheres is...
Two spheres have identical radii and masses. How might you tell which of these spheres is hollow and which is solid?
Problem 4 Two identical small spheres with mass, m, are hung from a very thin string...
Problem 4 Two identical small spheres with mass, m, are hung from a very thin string of length L, as shown in figure (17.56). The radius of the spheres is small and we can treat the spheres as point like objects. The charge on each sphere is q. Determine the angle, θ, each string makes with the vertical direction. Assume that the angle is small, (Hint: when θ is small you can use that θ sin θ tan θ) mass...
5. (21.68) Two identical spheres with mass m are hung from silk threads of length L,...
5. (21.68) Two identical spheres with mass m are hung from silk threads of length L, as shown below. Each sphere has the same charge, so qiq2q. The radius of each sphere is very small compared to the distance between the spheres, so they may be treated as point charges. Show that if the angle is small, the equilibrium separation d between the spheres is mg (hint: if θ is small, then tan mass m mass m charge qı charge...
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: .
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...
Consider two metal spheres of the same radius and mass. Sphere A is given an initial net charge ofA-130 and Sphere B is given an initial net charge of qB = 12.1 μC . The spheres are brought into contact with each other and then separated again. Calculate the final net charge on Sphere A Enter answer here
Problem 4 Two identical small spheres with mass, m, are hung from a very thin string of length L, as shown in figure (17.56). The radius of the spheres is small and we can treat the spheres as point like objects. The charge on each sphere is q. Determine the angle, θ, each string makes with the vertical direction. Assume that the angle is small, (Hint: when θ is small you can use that θ sin θ tan θ) mass...
5. (21.68) Two identical spheres with mass m are hung from silk threads of length L, as shown below. Each sphere has the same charge, so qiq2q. The radius of each sphere is very small compared to the distance between the spheres, so they may be treated as point charges. Show that if the angle is small, the equilibrium separation d between the spheres is mg (hint: if θ is small, then tan mass m mass m charge qı charge...
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