The figure below shows a thin, uniform bar whose length is L and mass is M...
The figure below shows a thin, uniform bar whose length is L and mass is M and a compact hard sphere whose mass is m. The system is supported by a frictionless horizontal surface. The sphere moves to the right with velocity vector v, and strikes the bar at a distance 1/4L from the center of the bar. The collision is elastic, and following the collision the sphere is at rest. Find the value of the ratio m/M.
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The figure below shows a thin, uniform bar whose length is L and
mass is M...
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 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...
The figure above shows a thin, uniform bar of length D = 1.27 m and mass...
The figure above shows a thin, uniform bar of length D
= 1.27 m and mass M = 0.96 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...
5. A half section of a uniform thin pipe of mass m 2 kg is at...
5. A half section of a uniform thin pipe of mass m 2 kg is at rest when a force P 40 N is applied at point A as shown. The static and kinetic friction coefficients are μ': 0.15 and μ"01, respectively. Determine (a) the angular acceleration, and (b) the magnitude and direction of the friction force between the thin pipe and the horizontal plane. The distance between the geometric center O and mass center G of the thin pipe...
A thin, uniform bar of length D = 1.00 m and mass M = 0.74 kg...
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 slender bar of mass M = 3.2 kg and length L = 1.78 m...
A uniform slender bar of mass M = 3.2 kg and length L = 1.78 m is translating on the smooth horizontal x-y plane with a velocity vm= 1.80 m/s when a particle of mass m = 0.36 kg traveling with a velocity Vm=5.52 m/s as shown strikes and becomes embedded in the bar. Determine the final linear velocity of the center of mass of the system and the angular velocity of the bar with its embedded particle. 3L 4...
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...
In the figure, a thin horizontal bar AB of negligible weight and length L = 3.2...
In the figure, a thin horizontal bar AB of negligible weight and length L = 3.2 m is hinged to a vertical wall at A and supported at B by a thin wire BC that makes an angle 0 = 44° with the horizontal. A block of weight W = 170 N can be moved anywhere along the bar; its position is defined by the distance x = 0.887 m from the wall to its center of mass. Find (a)...
A 0.5m long, thin uniform bar is pinned at its center. It is spinning on a...
A 0.5m long, thin uniform bar is pinned at its center. It is spinning on a smooth horizontal surface with an initial velocity of 10 rad/s. It has a mass of 2kg. A small 0.25kg object is dropped on it and sticks at a distance of 0.25m from its center. Find: a) the final angular velocity of the system b) the force required to hold the object in place after it reaches its final velocity c) the energy lost during...
The figure below shows a uniform rod of length L=1.1 m and mass M (not required...
The figure below shows a uniform rod of length L=1.1 m and mass M (not required in answer) which is free to rotate about one end, and which is initially at rest at an angle 0=40° with respect to the horizontal. Find the (linear) speed of the center of mass of the rod when it reaches the vertical position (8=-90°). Ꮎ Pin Select one: 3.64 m/s 4.01 m/s 1.82 m/s 6.19 m/s 4.37 m/s Th figure below shows a mass...
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 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...
The figure above shows a thin, uniform bar of length D
= 1.27 m and mass M = 0.96 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...
5. A half section of a uniform thin pipe of mass m 2 kg is at rest when a force P 40 N is applied at point A as shown. The static and kinetic friction coefficients are μ': 0.15 and μ"01, respectively. Determine (a) the angular acceleration, and (b) the magnitude and direction of the friction force between the thin pipe and the horizontal plane. The distance between the geometric center O and mass center G of the thin pipe...
A uniform slender bar of mass M = 3.2 kg and length L = 1.78 m is translating on the smooth horizontal x-y plane with a velocity vm= 1.80 m/s when a particle of mass m = 0.36 kg traveling with a velocity Vm=5.52 m/s as shown strikes and becomes embedded in the bar. Determine the final linear velocity of the center of mass of the system and the angular velocity of the bar with its embedded particle. 3L 4...
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...
In the figure, a thin horizontal bar AB of negligible weight and length L = 3.2 m is hinged to a vertical wall at A and supported at B by a thin wire BC that makes an angle 0 = 44° with the horizontal. A block of weight W = 170 N can be moved anywhere along the bar; its position is defined by the distance x = 0.887 m from the wall to its center of mass. Find (a)...
The figure below shows a uniform rod of length L=1.1 m and mass M (not required in answer) which is free to rotate about one end, and which is initially at rest at an angle 0=40° with respect to the horizontal. Find the (linear) speed of the center of mass of the rod when it reaches the vertical position (8=-90°). Ꮎ Pin Select one: 3.64 m/s 4.01 m/s 1.82 m/s 6.19 m/s 4.37 m/s Th figure below shows a mass...
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