A solid spherical ball of mass m and radius r starts to move down from rest at a height H as shown. The downward part of the road is rugged, that is, some friction exists until it arrives at the horizontal part. But after that there is no friction on the smooth part. Until which height (in terms of H) does the ball climb on the smooth part?
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A solid spherical ball of mass m and radius r
starts to move down from rest...
A ball with a radius r and a mass m starts from rest and then rolls...
A ball with a radius r and a mass m starts from rest and then
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an expression for the ball’s speed v, just as it leaves the roof,
in terms of g, L, and θ:
A. If the ball is a solid sphere.
B.If the ball is a hollow sphere.
C. For each...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1.The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho. will the sphere roll up the other side? Smooth Rough Ho
1. (20 points) A hollow sphere of radius r and mass m starts from rest and...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1. The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho will the sphere roll up the other side? Rough Smooth
A spherical boulder (solid sphere) of mass M and radius R starts (from rest) rolling down...
A spherical boulder (solid sphere) of mass M and radius R starts (from rest) rolling down a hill without slipping from a height of h. Which equation accurately represents the energy conservation for calculating the velocity of the center of mass (Vcm)? Start from K1+U1-K2+U2. Like in Ch 7, do NOT memorize the equation for specific situation such as this; use K1+U1 - K2+U2 to get to the desired equation) O 0+Mgh Mvm Mm +0 O0+Mgh Mvam + 0 0...
1) A solid ball of mass M and radius R rolls without slipping down a hill...
1) A solid ball of mass M and radius R rolls without slipping down a hill with slope tan θ. (That is θ is the angle of the hill relative to the horizontal direction.) What is the static frictional force acting on it? It is possible to solve this question in a fairly simple way using two ingredients: a) As derived in the worksheet when an object of moment of inertia I, mass M and radius R starts at rest...
A solid, uniform eylinder, mass m and radius r starts from rest and rolls without slippng...
A solid, uniform eylinder, mass m and radius r starts from rest and rolls without slippng solid cylinder 7) down a track. Points A and B are on a circular part of the track having radius R. The diameter of the cylinder r R , so it doesn't need to be taken into consideration when calculating the potential energy U. a. What is the minimum height, ho for which the cylinder will make a complete loop-the loop without losing contact?...
Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coeffi...
Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coefficient of friction (this means that the frictional force is equal to the normal force multiplied by u). The acceleration due to gravity is g. At time t 0, the bal is struck impulsively on center, causing it to go instantaneously from rest to initial rotation horizontal speed vo with a no (a) Find the horizontal speed, and the...
2) A solid uniform ball of mass m and radius r rolls down a hemispherical bowl...
2) A solid uniform ball of mass m and radius r rolls down a hemispherical bowl of radius R, starting from a height h above the bottom of the bowl. The surface on the left half of the bowl has sufficient friction to prevent slipping, and the right side is frictionless. R (a) (5 marks) Determine the angular speed w the ball rotates in terms of e', when it rolls without slipping. (b) (5 marks) Derive an expression for the...
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...
Constants A thin-walled, hollow spherical shell of mass m and radius r starts from rest and...
Constants A thin-walled, hollow spherical shell of mass m and radius r starts from rest and rolls without slipping down the track shown in the figure (Figure 1). Points A and B are on a circular part of the track having radius R. The diameter of the shell is very small compared to ho and R, and the work done by the rolling friction is negligible Part A What is the minimum speed of the shell at point A for...
A ball with a radius r and a mass m starts from rest and then
rolls without slipping a distance L down a roof sloped at an angle
θ. The ball comes off the roof a height H above the ground. Derive
an expression for the ball’s speed v, just as it leaves the roof,
in terms of g, L, and θ:
A. If the ball is a solid sphere.
B.If the ball is a hollow sphere.
C. For each...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1.The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho. will the sphere roll up the other side? Smooth Rough Ho
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1. The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho will the sphere roll up the other side? Rough Smooth
A spherical boulder (solid sphere) of mass M and radius R starts (from rest) rolling down a hill without slipping from a height of h. Which equation accurately represents the energy conservation for calculating the velocity of the center of mass (Vcm)? Start from K1+U1-K2+U2. Like in Ch 7, do NOT memorize the equation for specific situation such as this; use K1+U1 - K2+U2 to get to the desired equation) O 0+Mgh Mvm Mm +0 O0+Mgh Mvam + 0 0...
A solid, uniform eylinder, mass m and radius r starts from rest and rolls without slippng solid cylinder 7) down a track. Points A and B are on a circular part of the track having radius R. The diameter of the cylinder r R , so it doesn't need to be taken into consideration when calculating the potential energy U. a. What is the minimum height, ho for which the cylinder will make a complete loop-the loop without losing contact?...
Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coefficient of friction (this means that the frictional force is equal to the normal force multiplied by u). The acceleration due to gravity is g. At time t 0, the bal is struck impulsively on center, causing it to go instantaneously from rest to initial rotation horizontal speed vo with a no (a) Find the horizontal speed, and the...
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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...
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