Exercise 6: A solid sphere and a spherical shell are on top of a hill which...
Exercise 6: A solid sphere and a spherical shell are on top of a hill which is 3.60m tall. They are each 4.50kg. Suppose they roll down the hill. At what speed will each sphere be moving at the bottom of the hill? Here I refer to the speed of the center of mass as in class. You also have to do the algebra, as in class, to eliminate the R and ω. Also, you have to remember that the moment of inertia of a spherical shell is (2/3)MR2. I get that the solid sphere moves at 7.01m/s.
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Exercise 6: A solid sphere and a spherical shell are on top of a hill which...
Four objects-a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell-each have a...
Four objects-a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell-each have a mass of 4.87 kg and a radius of 0.271 m (a) Find the moment of inertia for each object as it rotates about the axes shown in this table. hoop solid cylinder solid sphere thin, spherical shell kg kg m2 kg m kg m (b) Suppose each object is rolled down a ramp. Rank the translational speed of each object from highest to lowest....
A solid uniform sphere and a uniform spherical shell, both having the same mass (m) and...
A solid uniform sphere and a uniform spherical shell, both having the same mass (m) and radius (R), rolls without slipping along a horizontal surface at a speed v. They then encounter a hill that rises at an angle (theta) above the horizontal. (I of the sphere = 2/5mR^2) and (I of the spherical shell = 2/3mR^2) (a) How high will the sphere roll before coming to rest? (b) How high will the spherical shell roll before coming to rest?...
Can you show all steps to solve the question? Thank you 2. A solid uniform sphere...
Can you show all steps to solve the question? Thank
you
2. A solid uniform sphere and a uniform spherical shell, both having the same mass m and radius R, roll without slipping down a hill that rises at an angle ? above the horizontal. Both spheres start from rest at the same vertical height h 10.0 m. Given lem mR2 and sphere shelt S) () mR2. You may use energy (a) How fast is the solid sphere moving at...
A spherical shell is released from rest and rolls down a θ = 28° incline without...
A spherical shell is released from rest and rolls down a θ = 28° incline without slipping and reaches the bottom with an angular speed of ω = 32.2 rad/s. The M = 1.5 kg sphere has a radius R = 0.60 m and a moment of inertia given as I = (2/3)MR2. Find the distance Δx that the sphere traveled on the incline in m.
2) Released from rest at the same height, a thin spherical shell (lamR3) and solid sphere...
2) Released from rest at the same height, a thin spherical shell (lamR3) and solid sphere AshremR) of the same mass m and radius R roll without slipping down an incline through the same vertical drop H (see figure below). Each is moving horizontally as it leaves the ramp. The spherical shell hits the ground a horizontal distance L from the end of the ramp and the solid sphere hits the ground a distance L 'from the end of the...
A hoop, a solid cylinder, a solid sphere, and a thin spherical shell each has the...
A hoop, a solid cylinder, a solid sphere, and a thin spherical shell each has the same mass of 2.28 kg and the same radius of 0.174 m. Each is also rotating about its central axis with an angular speed of 39.0 rad/s. What is the magnitude of the angular momentum of each object? (Enter your answers in kg. m/s.) (a) hoop kom (1) solid cylinder (c) solid sphere (d) thin, spherical shell kom?/
A spherical shell is released from rest and rolls down a 2 = 28° incline without...
A spherical shell is released from rest and rolls down a 2 = 28° incline without slipping and reaches the bottom with an angular speed of w = 32.2 rad/s. The M = 1.5 kg sphere has a radius R = 0.60 m and a moment of inertia given as I = (2/3)MR2. R -AX 0 Find the distance Ax that the sphere traveled on the incline. m
A hoop, a solid cylinder, a solid sphere, and a thin spherical shell each has the...
A hoop, a solid cylinder, a solid sphere, and a thin spherical shell each has the same mass of 2.68 kg and the same radius of 0.204 m. Each is also rotating about its central axis with an angular speed of 37.0 rad/s. What is the magnitude of the angular momentum of each object? (Enter your answers in kg · m2/s.) (a) hoop kg · m2/s (b) solid cylinder kg · m2/s (c) solid sphere kg · m2/s (d) thin,...
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.
3. A ball, a solid sphere of radius r and mass m, is positioned at the top of a ramp that makes an angle of 0 with the horizontal. The initial position of the sphere is at a distance of d from its fi...
3. A ball, a solid sphere of radius r and mass m, is positioned at the top of a ramp that makes an angle of 0 with the horizontal. The initial position of the sphere is at a distance of d from its final position at the bottom of the incline. a) Find the velocity of the ball at the bottom of the ramp in terms of m, r, d, 8, and g. The moment of inertia of a sphere...
Four objects-a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell-each have a mass of 4.87 kg and a radius of 0.271 m (a) Find the moment of inertia for each object as it rotates about the axes shown in this table. hoop solid cylinder solid sphere thin, spherical shell kg kg m2 kg m kg m (b) Suppose each object is rolled down a ramp. Rank the translational speed of each object from highest to lowest....
Can you show all steps to solve the question? Thank
you
2. A solid uniform sphere and a uniform spherical shell, both having the same mass m and radius R, roll without slipping down a hill that rises at an angle ? above the horizontal. Both spheres start from rest at the same vertical height h 10.0 m. Given lem mR2 and sphere shelt S) () mR2. You may use energy (a) How fast is the solid sphere moving at...
2) Released from rest at the same height, a thin spherical shell (lamR3) and solid sphere AshremR) of the same mass m and radius R roll without slipping down an incline through the same vertical drop H (see figure below). Each is moving horizontally as it leaves the ramp. The spherical shell hits the ground a horizontal distance L from the end of the ramp and the solid sphere hits the ground a distance L 'from the end of the...
A hoop, a solid cylinder, a solid sphere, and a thin spherical shell each has the same mass of 2.28 kg and the same radius of 0.174 m. Each is also rotating about its central axis with an angular speed of 39.0 rad/s. What is the magnitude of the angular momentum of each object? (Enter your answers in kg. m/s.) (a) hoop kom (1) solid cylinder (c) solid sphere (d) thin, spherical shell kom?/
A spherical shell is released from rest and rolls down a 2 = 28° incline without slipping and reaches the bottom with an angular speed of w = 32.2 rad/s. The M = 1.5 kg sphere has a radius R = 0.60 m and a moment of inertia given as I = (2/3)MR2. R -AX 0 Find the distance Ax that the sphere traveled on the incline. m
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.
3. A ball, a solid sphere of radius r and mass m, is positioned at the top of a ramp that makes an angle of 0 with the horizontal. The initial position of the sphere is at a distance of d from its final position at the bottom of the incline. a) Find the velocity of the ball at the bottom of the ramp in terms of m, r, d, 8, and g. The moment of inertia of a sphere...
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