PART B
A uniform hoop of mass ? = 2 ?? and radius ? = 50 ?? rolls smoothly with constant angular speed of ? = 1.5 ???/? on a horizontal surface. Note that the rotational inertia of the hoop about its central axis is ??^2. Find the kinetic energy of the hoop.
Homework Answers
Given • Hollow hoop has a mass M and radius R. It is free to rotate...
Given
• Hollow hoop has a mass M and radius R. It is free to rotate about
an axis perpendicular to the page and the edge of the hoop.
Released frm rest, passes through horizontal in final state, and
rotates right
Question
A. Direction of final angular velocity and acceleration
vector?
B. Rotational inertia of hoop about axis before it is released
Do the following increase, decrease,, or remain the
same (Between final and initial)
C. Magnitude of gravitational PE...
Multiple Choice (select the best answer) (2 pts each 1. Consider a uniform hoop of radius...
Multiple Choice (select the best answer) (2 pts each 1. Consider a uniform hoop of radius R and mass M rolling without slipping. Which is larger, its translational kinetic energy or its rotational kinetic energy? A) Translational kinetic energy is larger B) Rotational kinetic energy is larger. C) Both are equal. D) You need to know the speed of the hoop to tell. 2. A disk and a hoop of the same mass and radius are released at the same...
A cylinder of mass 11.0 kg and radius 0.260m rolls without slipping on a horizontal surface....
A cylinder of mass 11.0 kg and radius 0.260m rolls without slipping on a horizontal surface. At a particular instant, its center of mass has a speed of 7.30 m/s. Its rotational kinetic energy about its center of mass is then 147J. a) What is in kg m2 its moment of inertia about its center of mass? b) What is in J its linear kinetic energy at that instant? c) What is in J its total kinetic energy at that...
Q4 (15 points): A uniform hoop of radius R - 15 cm and mass M 1.2...
Q4 (15 points): A uniform hoop of radius R - 15 cm and mass M 1.2 kg is placed at the top of an incline of height h-2 m. The surface of the incline makes an angle θ-30° with the horizontal. The hoop is released from rest and rolls without slipping. m MR2 for hoopl a) What is the acceleration of its center of mass (açom) during rolling? b) What is the force of friction in unit vector notation required...
Please answer that question ASAP 1. Consider a disc and hoop both of the same mass...
Please answer that question ASAP
1. Consider a disc and hoop both of the same mass M, radius R and thickness I. a) Explain why one of these objects has a larger moment of inertia (about an axis through the center of mass and perpendicular to the plane of the object) than the other. What effect does the thickness I have on the rotational inertia? b) Explain how the rotational inertia of the disc may be obtained by adding the...
Q10 A hollow sphere and a hoop of the same mass and radius are released at...
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
The figure shows a rigid structure consisting of a circular hoop of radius R and mass...
The figure shows a rigid structure consisting of a circular hoop of radius R and mass m1 and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of s. If R = m and m = kg, calculate the angular momentum about that axis. At the instant of the figure, a kg particle P has a position vector...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod of mass m and length r welded to it as illustrated. a) Given that the rod is at an angle θ from the horizontal, and that the hoop is rotating at a rate ω and rolling on the floor without slipping, what is the total Kinetic Energy, and total Potential Energy (use the height of the center of the hoop as your datum)? Hints:...
Please explain the steps to get answer B) 24. A hoop of mass M and R=0.600...
Please explain the steps to get answer
B)
24. A hoop of mass M and R=0.600 m is released from rest and rolls without slipping down an incline that is at an angle of 60° above the horizontal. The moment of inertia of a hoop about its center of mass is I ☆ = MRC. When the hoop has traveled a distance S= 4.0 m down the incline, the magnitude of its angular velocity about its center is A) 7.38...
4. A uniform solid sphere of radius 0.1 m rolls smoothly across a horizontal surface at...
4. A uniform solid sphere of radius 0.1 m rolls smoothly across a horizontal surface at a speed 0.5 m/s with kinetic energy 0.7 J. Find the mass of the sphere and its angular momentum
Given
• Hollow hoop has a mass M and radius R. It is free to rotate about
an axis perpendicular to the page and the edge of the hoop.
Released frm rest, passes through horizontal in final state, and
rotates right
Question
A. Direction of final angular velocity and acceleration
vector?
B. Rotational inertia of hoop about axis before it is released
Do the following increase, decrease,, or remain the
same (Between final and initial)
C. Magnitude of gravitational PE...
Multiple Choice (select the best answer) (2 pts each 1. Consider a uniform hoop of radius R and mass M rolling without slipping. Which is larger, its translational kinetic energy or its rotational kinetic energy? A) Translational kinetic energy is larger B) Rotational kinetic energy is larger. C) Both are equal. D) You need to know the speed of the hoop to tell. 2. A disk and a hoop of the same mass and radius are released at the same...
Q4 (15 points): A uniform hoop of radius R - 15 cm and mass M 1.2 kg is placed at the top of an incline of height h-2 m. The surface of the incline makes an angle θ-30° with the horizontal. The hoop is released from rest and rolls without slipping. m MR2 for hoopl a) What is the acceleration of its center of mass (açom) during rolling? b) What is the force of friction in unit vector notation required...
Please answer that question ASAP
1. Consider a disc and hoop both of the same mass M, radius R and thickness I. a) Explain why one of these objects has a larger moment of inertia (about an axis through the center of mass and perpendicular to the plane of the object) than the other. What effect does the thickness I have on the rotational inertia? b) Explain how the rotational inertia of the disc may be obtained by adding the...
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
The figure shows a rigid structure consisting of a circular hoop of radius R and mass m1 and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of s. If R = m and m = kg, calculate the angular momentum about that axis. At the instant of the figure, a kg particle P has a position vector...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod of mass m and length r welded to it as illustrated. a) Given that the rod is at an angle θ from the horizontal, and that the hoop is rotating at a rate ω and rolling on the floor without slipping, what is the total Kinetic Energy, and total Potential Energy (use the height of the center of the hoop as your datum)? Hints:...
Please explain the steps to get answer
B)
24. A hoop of mass M and R=0.600 m is released from rest and rolls without slipping down an incline that is at an angle of 60° above the horizontal. The moment of inertia of a hoop about its center of mass is I ☆ = MRC. When the hoop has traveled a distance S= 4.0 m down the incline, the magnitude of its angular velocity about its center is A) 7.38...
4. A uniform solid sphere of radius 0.1 m rolls smoothly across a horizontal surface at a speed 0.5 m/s with kinetic energy 0.7 J. Find the mass of the sphere and its angular momentum
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