A uniform, thin bar has a mass of 2 kg and a length of 0.50m. Initially,...
A uniform, thin bar has a mass of 2 kg and a length of 0.50m. Initially, the bar is balanced horizontally about a pin through its center of mass and orthogonal to its length. A small mass of 0.75 kg is placed on the left end and the system begins to spin. Find:
a) the initial angular acceleration of the system
b) the maximum angular velocity of the system
c) the torque on the system when it has reached the maximum angular velocity
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A uniform, thin bar has a mass of 2 kg and a length of 0.50m.
Initially,...
A long thin bar (length L = 18 cm, mass 1.8 kg) of uniform density is...
A long thin bar (length L = 18 cm, mass 1.8 kg) of uniform
density is placed upon a horizontal, frictionless surface. A small
rubber puck (mass 250 g) slides towards the bar with a speed (2
m/s) directed perpendicular to the bar. It collides perfectly
elastically with the bar at a distance (d) from the center of mass
of the bar in such a way that the puck rebounds with a velocity (1
m/s).
a) What is the value...
A thin uniform rod (of mass 10.0kg and length of 1.20m) is attached to a friction-free...
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.
A thin uniform rod (of mass 10.0kg and length of 1.20 m) is attached to a friction-free pivot. Initially, the rod is balanced vertically above the pivot (position A in...
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
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(a)
the rod's angular acceleration (in rad/s2)
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the tangential acceleration...
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A thin, uniform bar of length D = 1.00 m and mass M = 0.74 kg pivoted at the top. The rod, which is initially at rest, is struck by a particle whose mass is m = 0.30 kg at a point x = 0.80d below the pivot. Assume that the particle sticks to the rod. If the maximum angle between the rod and the vertical following the collision is 60°, find the speed of the particle before impact.
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...
1. A thin, uniform bar of length L and mass M is supported by a frictionless...
1. A thin, uniform bar of length L and mass M is supported by a frictionless horizontal surface. A ball of mass m travels to the right with speed v and strikes the bar. (top view) a. Assume the ball strikes the bar a distance d from the center of the bar and sticks to the bar. Find the velocity of the center of mass of the bar-ball system and them angular speed of the system. b. Assume the ball...
A thin uniform rod has a length of 0.530 m and is rotating in a circle...
A thin uniform rod has a length of 0.530 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.41 rad/s and a moment of inertia about the axis of 3.10×10−3 kg⋅m2 . A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of...
A thin uniform rod has a length of 0.520 m and is rotating in a circle...
A thin uniform rod has a length of 0.520 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.37 rad/s and a moment of inertia about the axis of 2.70×10−3 kg⋅m2 . A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of...
2... 25 pts The uniform bar is modeled as a thin rod and has mass of 20-kg e Draw the FBD and det...
2... 25 pts The uniform bar is modeled as a thin rod and has mass of 20-kg e Draw the FBD and determine the tension in the cord before the cord is cut the cord is cut immediately after the cord is cut. 0.5ッ . Determine the tension in the cord immediately after . Determine the angular acceleration of the rod 16.35 rad/s 40° 0.6 m .t._ 0.3 m
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A thin, uniform bar of length l and mass M is suspended horizontally. It is released...
A thin, uniform bar of length l and mass M is suspended horizontally. It is released and is struck by a sharp, vertical blow upwards at one end. The duration of impulse is negligibly short. (1) Call z the vertical direction. Write an equation for zcom(t) and draw a sketch of this graph. (What is the initial slope?) (2) Write an equation for the angular displacement of the bar with respect to time.
A long thin bar (length L = 18 cm, mass 1.8 kg) of uniform
density is placed upon a horizontal, frictionless surface. A small
rubber puck (mass 250 g) slides towards the bar with a speed (2
m/s) directed perpendicular to the bar. It collides perfectly
elastically with the bar at a distance (d) from the center of mass
of the bar in such a way that the puck rebounds with a velocity (1
m/s).
a) What is the value...
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.
A thin uniform rod (of mass 10.0kg and length of 1.20 m) is attached to a friction-free pivot. Initially, the rod is balanced vertically above the pivot (position A in...
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...
1. A thin, uniform bar of length L and mass M is supported by a frictionless horizontal surface. A ball of mass m travels to the right with speed v and strikes the bar. (top view) a. Assume the ball strikes the bar a distance d from the center of the bar and sticks to the bar. Find the velocity of the center of mass of the bar-ball system and them angular speed of the system. b. Assume the ball...
2... 25 pts The uniform bar is modeled as a thin rod and has mass of 20-kg e Draw the FBD and determine the tension in the cord before the cord is cut the cord is cut immediately after the cord is cut. 0.5ッ . Determine the tension in the cord immediately after . Determine the angular acceleration of the rod 16.35 rad/s 40° 0.6 m .t._ 0.3 m
2... 25 pts The uniform bar is modeled as a thin...
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