please solve using conservation of energy and relative acceleration, thank you.
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please solve using conservation of energy and relative acceleration, thank you. 1. The rod has mass...
In the figure, a thin uniform rod (mass 4.6 kg, length 5.0 m) rotates freely about...
In the figure, a thin uniform rod (mass 4.6 kg, length 5.0 m) rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at a distance d = 1.4 m from the end of the rod. The kinetic energy of the rod as it passes through the vertical position is 18 J. (a) what is the rotational inertia of the rod about axis A? (b) what is the (linear) speed of the...
A uniform rod of length L (2.00 m) and mass M (5.00 Kg) is free to...
A uniform rod of length L (2.00 m) and mass M (5.00 Kg) is free to rotate on a frictionless pin passing through one end. The rod is released from rest in the horizontal position, (a) What is its angular speed when the rod reaches its lowest position? (b) What arc the linear speed of the center of mass and that of the lowest point on the rod when it is in the vertical position?
11. A uniform thin rod of length L and mass M, pivoted at one end as...
11. A uniform thin rod of length L and mass M, pivoted at one end as shown above, is held horizontal and then released from rest. Ignore all effects due to friction. (a) Find the angular speed of the rod as it sweeps through the vertical position. solution: 、13g / L (b) Find the force exerted on the rod by the pivot at this instant. solution Mg (c) Starting from the horizontal position, what initial angular speed would be needed...
Circle answers please A thin, cylindrical rod l = 20.8 cm long with a mass m...
Circle answers please
A thin, cylindrical rod l = 20.8 cm long with a mass m = 1.20 kg has a ball of diameter d = 6.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. m (a) After the...
[7.] A uniform rod with mass M, length L, and moment of inertial with respect to...
[7.] A uniform rod with mass M, length L, and moment of inertial with respect to the center of mass Icm = MLis hinged at one end (point P) so that it can rotate, without friction, around a horizontal axis. The rod is initially held at rest forming an angle with the vertical (see figure) and then released. a) Find the moment of inertia Ip of the rod with respect to point P. b) Find the magnitude of the angular...
[This is a particularly challenging problem, incorporating momentum, conservation of energy, and centripetal force. If you...
[This is a particularly challenging problem, incorporating momentum, conservation of energy, and centripetal force. If you find yourself getting annoyed, just remember that I could have turned the block into a projectile as well :-). Consider it a bonus.] A bullet of mass m = 40 g, moving horizontally with speed v, strikes a clay block of mass M = 1.68 kg that is hanging on a light inextensible string of length L = 0.620. The bullet becomes embedded in...
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a...
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.460 kg and its length is 1.50 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. A thin rod labeled M is initially horizontal, with a pivot on its left end. The rod then rotates clockwise by its left end until it is...
The diagram shows a thin rod of uniform mass distribution plvoted about one end by a...
The diagram shows a thin rod of uniform mass distribution plvoted about one end by a pin passing through that point. The mass of the rod is 0.490 kg and its length is 2.40 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. (a) (a) Determine the speed of its center of gravity at its lowest position in m/s. Consider the conservation of energy of the center of mass of...
A rod of mass M and length 2L is free to rotate in a vertical plane...
A rod of mass M and length 2L is free to rotate in a vertical plane about an axis through O, as shown in the figure. The axis is normal to the plane of the paper. Three mosses M, M, and 2M are attached to the rod as shown. With the rod in a horizontal position, the system is released from rest. (a) Find the net torque on the rod about the axis of rotation immediately after the system is...
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a...
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.490 kg and its length is 2.40 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. M L/2 . CG (a) Determine the speed of its center of gravity at its lowest position. 1.20 Consider the conservation of energy of the center of...
In the figure, a thin uniform rod (mass 4.6 kg, length 5.0 m) rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at a distance d = 1.4 m from the end of the rod. The kinetic energy of the rod as it passes through the vertical position is 18 J. (a) what is the rotational inertia of the rod about axis A? (b) what is the (linear) speed of the...
A uniform rod of length L (2.00 m) and mass M (5.00 Kg) is free to rotate on a frictionless pin passing through one end. The rod is released from rest in the horizontal position, (a) What is its angular speed when the rod reaches its lowest position? (b) What arc the linear speed of the center of mass and that of the lowest point on the rod when it is in the vertical position?
11. A uniform thin rod of length L and mass M, pivoted at one end as shown above, is held horizontal and then released from rest. Ignore all effects due to friction. (a) Find the angular speed of the rod as it sweeps through the vertical position. solution: 、13g / L (b) Find the force exerted on the rod by the pivot at this instant. solution Mg (c) Starting from the horizontal position, what initial angular speed would be needed...
Circle answers please
A thin, cylindrical rod l = 20.8 cm long with a mass m = 1.20 kg has a ball of diameter d = 6.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. m (a) After the...
[7.] A uniform rod with mass M, length L, and moment of inertial with respect to the center of mass Icm = MLis hinged at one end (point P) so that it can rotate, without friction, around a horizontal axis. The rod is initially held at rest forming an angle with the vertical (see figure) and then released. a) Find the moment of inertia Ip of the rod with respect to point P. b) Find the magnitude of the angular...
The diagram shows a thin rod of uniform mass distribution plvoted about one end by a pin passing through that point. The mass of the rod is 0.490 kg and its length is 2.40 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. (a) (a) Determine the speed of its center of gravity at its lowest position in m/s. Consider the conservation of energy of the center of mass of...
A rod of mass M and length 2L is free to rotate in a vertical plane about an axis through O, as shown in the figure. The axis is normal to the plane of the paper. Three mosses M, M, and 2M are attached to the rod as shown. With the rod in a horizontal position, the system is released from rest. (a) Find the net torque on the rod about the axis of rotation immediately after the system is...
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.490 kg and its length is 2.40 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. M L/2 . CG (a) Determine the speed of its center of gravity at its lowest position. 1.20 Consider the conservation of energy of the center of...
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