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11. A thin straight board is held horizontal and then released from rest. It has a...
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...
The uniform thin rod in the figure below has mass M = 4.00 kg and length...
The uniform thin rod in the figure below has mass M =
4.00 kg and length L = 2.21 m and is free to rotate on a
frictionless pin. At the instant the rod is released from rest in
the horizontal position, find the magnitude of the rod's angular
acceleration, the tangential acceleration of the rod's center of
mass, and the tangential acceleration of the rod's free end.
(a)
the rod's angular acceleration (in rad/s2)
rad/s2
(b)
the tangential acceleration...
4(12 points) A uniform rod of length L and mass M is attached at one end...
4(12 points) A uniform rod of length L and mass M is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in Figure. The rod is released from rest in the horizontal position. (a)What are the initial angular acceleration of the rod and the initial translational acceleration of its right end (as shown in Fig.a)? (b)What is its angular speed when the rod reaches its lowest position (as...
A stick is released from rest when it is perfectly horizontal. Assume its pivot is frictionless....
A stick is released from rest when it is perfectly horizontal.
Assume its pivot is
frictionless. Use conservation of energy to nd an expression
for the angular velocity
of the stick when it reaches its vertical position. (Use: Irod
= 1/3*mL^2. Your answer
should be in terms of g and L.) For a stick of length 2.0 m,
what would be the nal
angular velocity?
A stick is released from rest when it is perfectly horizontal. Assume its pivot 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 0.460 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 thin uniform rod in the figure has length 7.0 m and can pivot about a...
The thin uniform rod in the figure has length 7.0 m and can pivot about a horizontal, frictionless pin through one end. It is released from rest at angle θ = 40° above the horizontal. Use the principle of conservation of energy to determine the angular speed of the rod as it passes through the horizontal position. Assume free-fall acceleration to be equal to 9.83 m/s2.
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...
The diagram shows a thin red of uniform mass distribution pleted about one end by a...
The diagram shows a thin red of uniform mass distribution pleted 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 swing down to the vertical position as shown. (a) (a) Determine the speed of its center of gravity at its lowest position in my's (b) When the rod reaches the vertical position, calculate the tangential...
3. A person takes a ride on a 20-meter-diameter Ferris wheel that rotates with a constant...
3. A person takes a ride on a 20-meter-diameter Ferris wheel that rotates with a constant speed of 10 radians per second. Calculate the magnitude and direction of the force that the seat exerts on a 10 kilogram person when he is (a) at the top of the wheel, (b) at the bottom of the wheel, and (c) halfway up the wheel. 4. A thin, uniform rod of length L and mass M swings from a pivot at one end,...
A 0.200-m uniform bar has a mass of 0.626 kg and is released from rest in...
A 0.200-m uniform bar has a mass of 0.626 kg and is released from rest in the vertical position, as the drawing indicates. The spring is initially and has a spring constant of k = 28.6 N/m. Find the tangential speed with which end A strikes the horizontal surface.
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...
The uniform thin rod in the figure below has mass M =
4.00 kg and length L = 2.21 m and is free to rotate on a
frictionless pin. At the instant the rod is released from rest in
the horizontal position, find the magnitude of the rod's angular
acceleration, the tangential acceleration of the rod's center of
mass, and the tangential acceleration of the rod's free end.
(a)
the rod's angular acceleration (in rad/s2)
rad/s2
(b)
the tangential acceleration...
4(12 points) A uniform rod of length L and mass M is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in Figure. The rod is released from rest in the horizontal position. (a)What are the initial angular acceleration of the rod and the initial translational acceleration of its right end (as shown in Fig.a)? (b)What is its angular speed when the rod reaches its lowest position (as...
A stick is released from rest when it is perfectly horizontal.
Assume its pivot is
frictionless. Use conservation of energy to nd an expression
for the angular velocity
of the stick when it reaches its vertical position. (Use: Irod
= 1/3*mL^2. Your answer
should be in terms of g and L.) For a stick of length 2.0 m,
what would be the nal
angular velocity?
A stick is released from rest when it is perfectly horizontal. Assume its pivot 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...
The diagram shows a thin red of uniform mass distribution pleted 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 swing down to the vertical position as shown. (a) (a) Determine the speed of its center of gravity at its lowest position in my's (b) When the rod reaches the vertical position, calculate the tangential...
3. A person takes a ride on a 20-meter-diameter Ferris wheel that rotates with a constant speed of 10 radians per second. Calculate the magnitude and direction of the force that the seat exerts on a 10 kilogram person when he is (a) at the top of the wheel, (b) at the bottom of the wheel, and (c) halfway up the wheel. 4. A thin, uniform rod of length L and mass M swings from a pivot at one end,...
A 0.200-m uniform bar has a mass of 0.626 kg and is released from rest in the vertical position, as the drawing indicates. The spring is initially and has a spring constant of k = 28.6 N/m. Find the tangential speed with which end A strikes the horizontal surface.
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