A thin uniform rod (of mass 10.0kg and length of 1.20m) is attached to a friction-free pivot. Initially, the rod is balanced vertically above the pivot (position A in Figure A2.18). If the rod falls from rest, calculate
- the angular acceleration at position B.
- the angular velocity at position C.
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A thin uniform rod (of mass 10.0kg and length of 1.20m) is
attached to a friction-free...
A uniform thin rod of length 0.500 m and mass 4.00 kg is attached to a...
A uniform thin rod of length 0.500 m and mass 4.00 kg is attached to a pivot at one end. The other end of the rod is attached to a uniform sphere with a mass of 2.00 kg and a radius of 0.100 m. The rod and sphere initially hang vertically. A bullet with a mass of 5.00 g is fired horizontally at a speed of 200 m/s into the center of the sphere. The bullet embeds itself in the...
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...
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 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...
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...
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k...
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in the figure. The rod is released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial translational acceleration of its right end Pivot SOLVE IT Mg A rod is free to rotate around...
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...
1. 0.91875 A uniform rod of length 8 m and mass 12.4 kg is free to...
1. 0.91875 A uniform rod of length 8 m and mass 12.4 kg is free to rotate about a frictionless pivot at one end in a vertical plane, as in the figure. The rod is released from rest in the horizontal position. 2. 0.668182 O 3. 0.6125 O 4.0.3675 5. 7.35 O 6.0.319565 12.4 kg O 7. 1.8375 8. 0.408333 O 9. 1.225 O 10. 2.45 - 4 m -8 m What is the magnitude of the initial angular acceleration...
A uniform rod with a mass m and length L has one end attached to a...
A uniform rod with a mass m and length L has one end attached to a pivot. The rod swings around on a frictionless horizontal table with angular speed wo. A ball with mass m (so same mass as the rod) is placed on the table a distance d from the pivot. The ball is made of clay so when the rod strikes it, the ball sticks to the rod (i.e., inelastic collision). If the final (post-collision) angular velocity of...
A uniform rod of length 1.82 m is attached to a frictionless pivot at one end....
A uniform rod of length 1.82 m is attached to a frictionless
pivot at one end. It is released from rest from an angle θ = 29.8 °
above the horizontal.
Find the magnitude of the initial angular acceleration of the
rod.
Find the magnitude of the initial linear acceleration of a point
at the center of the rod.
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...
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...
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...
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in the figure. The rod is released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial translational acceleration of its right end Pivot SOLVE IT Mg A rod is free to rotate around...
1. 0.91875 A uniform rod of length 8 m and mass 12.4 kg is free to rotate about a frictionless pivot at one end in a vertical plane, as in the figure. The rod is released from rest in the horizontal position. 2. 0.668182 O 3. 0.6125 O 4.0.3675 5. 7.35 O 6.0.319565 12.4 kg O 7. 1.8375 8. 0.408333 O 9. 1.225 O 10. 2.45 - 4 m -8 m What is the magnitude of the initial angular acceleration...
A uniform rod with a mass m and length L has one end attached to a pivot. The rod swings around on a frictionless horizontal table with angular speed wo. A ball with mass m (so same mass as the rod) is placed on the table a distance d from the pivot. The ball is made of clay so when the rod strikes it, the ball sticks to the rod (i.e., inelastic collision). If the final (post-collision) angular velocity of...
A uniform rod of length 1.82 m is attached to a frictionless
pivot at one end. It is released from rest from an angle θ = 29.8 °
above the horizontal.
Find the magnitude of the initial angular acceleration of the
rod.
Find the magnitude of the initial linear acceleration of a point
at the center of the rod.
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