A ball, which can be modelled as a hollow sphereical shell, with
a mass, m, radius, r, and an initial velocity of Vo
rolls down a hill that has a height, h. Assuming no friction or
sticking the velocity at the bottom of the hill can be given by; a,
b, c, d?
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A ball, which can be modelled as a hollow sphereical shell, with
a mass, m, radius,...
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 uniform hollow spherical shell of mass M and radius R rolls without slipping down an...
A uniform hollow spherical shell of mass M and radius R rolls without slipping down an inclined plane. The plane has a length of L and is at an angle (theta). What is its speed at the bottom?
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...
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...
Keep getting this wrong. I got .82 In the figure, a ball of mass M and...
Keep getting this wrong. I got .82
In the figure, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a curved track of radius r = 0.489 m. The initial height of the ball is h = 0.445 m. At the bottom of the loop, the magnitude of the normal force on the ball is 2.25Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued...
A yo-yo can be modelled as a cylinder with radius r and mass m (I =...
A yo-yo can be modelled as a cylinder with radius r and mass m
(I = ½mr2). While hanging at the bottom of a string, the yo-yo is
given initial upward velocity and initial rotational velocity, and
as it moves upward the string is wrapped around the cylinder (for
simplicity, assume the string wraps around the full radius).
Determine the tension in the string as the yo-yo moves upward.
o v
A ball of mass M and radius R, rolls smootly from rest down a ramp at...
A ball of mass M and radius R, rolls smootly from rest down a ramp at an angle theta. The ball descent a vertical height h to reach the bottom of the ramp. What is the acceleration of the ball?
2.00 m 30 Given: A solid sphere of mass m 0.60 kg and radius r 0.20...
2.00 m 30 Given: A solid sphere of mass m 0.60 kg and radius r 0.20 m is released from rest at the top of the incline shown. For this system, the coefficient of dynamic (sliding) friction is Hdyn 0.3 and the coefficient of static friction is Hstatic -0.5 Find: (a) Assume that the sphere rolls without slipping down the incline. Under this assumption, what is the acceleration of the sphere parallel to the incline, and how long does it...
A bowing bat (which can be approximated as a solid sphere of mass m and radius...
A bowing bat (which can be approximated as a solid sphere of mass m and radius r) rolls without slipping along a ball rack with a linear speed v_1. The ball then rolls up a ramp of height h. At the top of the rack, the ball continues to roll without with a linear speed v_1. a) Use the Work-Energy Theorem to derive an expression for the initial linear speed of the ball (v_1) at the bottom of the ramp....
Problem 2 – variation of problem 10.76: A thin- walled, hollow spherical shell of mass m...
Problem 2 – variation of problem 10.76: 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. 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 rolling friction is negligible. a) What is the minimum height ho, for which this...
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...
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...
Keep getting this wrong. I got .82
In the figure, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a curved track of radius r = 0.489 m. The initial height of the ball is h = 0.445 m. At the bottom of the loop, the magnitude of the normal force on the ball is 2.25Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued...
A yo-yo can be modelled as a cylinder with radius r and mass m
(I = ½mr2). While hanging at the bottom of a string, the yo-yo is
given initial upward velocity and initial rotational velocity, and
as it moves upward the string is wrapped around the cylinder (for
simplicity, assume the string wraps around the full radius).
Determine the tension in the string as the yo-yo moves upward.
o v
A ball of mass M and radius R, rolls smootly from rest down a ramp at an angle theta. The ball descent a vertical height h to reach the bottom of the ramp. What is the acceleration of the ball?
2.00 m 30 Given: A solid sphere of mass m 0.60 kg and radius r 0.20 m is released from rest at the top of the incline shown. For this system, the coefficient of dynamic (sliding) friction is Hdyn 0.3 and the coefficient of static friction is Hstatic -0.5 Find: (a) Assume that the sphere rolls without slipping down the incline. Under this assumption, what is the acceleration of the sphere parallel to the incline, and how long does it...
A bowing bat (which can be approximated as a solid sphere of mass m and radius r) rolls without slipping along a ball rack with a linear speed v_1. The ball then rolls up a ramp of height h. At the top of the rack, the ball continues to roll without with a linear speed v_1. a) Use the Work-Energy Theorem to derive an expression for the initial linear speed of the ball (v_1) at the bottom of the ramp....
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