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A uniform hoop with a 15-cm radius sits at the end of a light 5-cm long...
rod with a radius of 5 cm sits on two horizontal, parallel rails that are 15...
rod with a radius of 5 cm sits on two horizontal, parallel rails that are 15 cm in a region of space within which there is a uniform magnetic field 1. A 1-kg apart and 50 em long, of 0.5 T, directed downward. If a current of 50 A is passed through the rod, with what speed will it leave the rails?
A grandfather clock has a pendulum that consists of a thin brass disk of radius r...
A grandfather clock has a pendulum that consists of a thin brass disk of radius r = 14.38 cm and mass 0.8261 kg that is attached to a long thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk, as shown in the figure. If the pendulum is to have a period of 1.592 s for small oscillations at a place where g =...
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...
A uniform cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping...
A uniform cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping on a horizontal tabletop. The cylinder's center of mass is observed to have a speed of 4.60 m/s at a given instant. (a) What is the translational kinetic energy of the cylinder at that instant? J (b) What is the rotational kinetic energy of the cylinder around its center of mass at that instant? J (c) What is the total kinetic energy of the...
A light conducting string is formed into a circular hoop with initial radius 25.0 cm. The...
A light conducting string is formed into a circular hoop with initial radius 25.0 cm. The hoop is placed in a 2.40-T uniform magnetic field so that its plane is perpendicular to the field, and the string is drawn to collapse the hoop to zero area in 200 ms. What is the average emf generated in the hoop during its collapse? (Enter the magnitude.) ...........V
1a. 1b. A certain gyroscope consists of a uniform disk with a 33.0 cm radius mounted...
1a.
1b. A certain gyroscope consists of a uniform disk with a 33.0
cm radius mounted at the center of an axle that is 11.0 cm long and
of negligible mass. The axle is horizontal and supported at one
end. If the disk is spinning around the axle at 1500 rev/min, what
is the precession rate?
In the figure, a small 0.372 kg block slides down a frictionless surface through height h = 0.918 m and then sticks to a...
2. Two equal masses are attached to a massless hoop of radius R that is free to rotate about its ...
2. Two equal masses are attached to a massless hoop of radius R that is free to rotate about its center in a vertical plane. The angle between the masses is 20, as shown in Fig. 2. Let α be the angle of rotation of the hoop measured from its equilibrium. ? (a) (15 points) what is the Lagrangian of the system钉n terms cS o (b) (10 points) What is the frequency of small oscillations of the hoop? Figure 2:...
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:...
A grandfather clock has a pendulum that consists of a thin brass disk of radius 37...
A grandfather clock has a pendulum that consists of a thin brass
disk of radius 37 cm and mass 1.6 kg that is attached to a long,
thin rod of negligible mass. The pendulum swings freely about an
axis perpendicular to the rod and through the end of the rod
opposite the disk. The pendulum should be designed so that its
period is 2 s for small oscillations when the gravitational
acceleration is 9.8 m/s2.
(a) What should the length...
A grandfather clock has a pendulum that consists of a thin brass disk of radius 27...
A grandfather clock has a pendulum that consists of a thin brass
disk of radius 27 cm and mass 1.1 kg that is attached to a long,
thin rod of negligible mass. The pendulum swings freely about an
axis perpendicular to the rod and through the end of the rod
opposite the disk. The pendulum should be designed so that its
period is 2 s for small oscillations when the gravitational
acceleration is 9.8 m/s2.
(a) What should the length...
rod with a radius of 5 cm sits on two horizontal, parallel rails that are 15 cm in a region of space within which there is a uniform magnetic field 1. A 1-kg apart and 50 em long, of 0.5 T, directed downward. If a current of 50 A is passed through the rod, with what speed will it leave the rails?
A grandfather clock has a pendulum that consists of a thin brass disk of radius r = 14.38 cm and mass 0.8261 kg that is attached to a long thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk, as shown in the figure. If the pendulum is to have a period of 1.592 s for small oscillations at a place where g =...
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...
A uniform cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping on a horizontal tabletop. The cylinder's center of mass is observed to have a speed of 4.60 m/s at a given instant. (a) What is the translational kinetic energy of the cylinder at that instant? J (b) What is the rotational kinetic energy of the cylinder around its center of mass at that instant? J (c) What is the total kinetic energy of the...
1a.
1b. A certain gyroscope consists of a uniform disk with a 33.0
cm radius mounted at the center of an axle that is 11.0 cm long and
of negligible mass. The axle is horizontal and supported at one
end. If the disk is spinning around the axle at 1500 rev/min, what
is the precession rate?
In the figure, a small 0.372 kg block slides down a frictionless surface through height h = 0.918 m and then sticks to a...
2. Two equal masses are attached to a massless hoop of radius R that is free to rotate about its center in a vertical plane. The angle between the masses is 20, as shown in Fig. 2. Let α be the angle of rotation of the hoop measured from its equilibrium. ? (a) (15 points) what is the Lagrangian of the system钉n terms cS o (b) (10 points) What is the frequency of small oscillations of the hoop? Figure 2:...
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:...
A grandfather clock has a pendulum that consists of a thin brass
disk of radius 37 cm and mass 1.6 kg that is attached to a long,
thin rod of negligible mass. The pendulum swings freely about an
axis perpendicular to the rod and through the end of the rod
opposite the disk. The pendulum should be designed so that its
period is 2 s for small oscillations when the gravitational
acceleration is 9.8 m/s2.
(a) What should the length...
A grandfather clock has a pendulum that consists of a thin brass
disk of radius 27 cm and mass 1.1 kg that is attached to a long,
thin rod of negligible mass. The pendulum swings freely about an
axis perpendicular to the rod and through the end of the rod
opposite the disk. The pendulum should be designed so that its
period is 2 s for small oscillations when the gravitational
acceleration is 9.8 m/s2.
(a) What should the length...
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