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 collision
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A 0.5m long, thin uniform bar is pinned at its center. It is
spinning on a...
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 6.0-lb bar is pinned at its center O and connected to a torsional spring. The...
The 6.0-lb bar is pinned at its center O and connected to a
torsional spring. The spring has a stiffness k = 5.6 lb?ft/rad , so
that the torque developed is M=(5.6?)lb?ft, where ? is in
radians.
If the bar is released from rest when it is vertical at
?=90?, determine its angular velocity at the instant
?=45?.
3. Three masses are connected by thin rigid rods as shown below, and are initially at rest on the top of a horizontal table. A circular blob of clay (velocity shown immediately before the collisi...
3. Three masses are connected by thin rigid rods as shown below, and are initially at rest on the top of a horizontal table. A circular blob of clay (velocity shown immediately before the collision) hits and sticks to one of the masses as shown. The mass of the rod can be neglected and the object is NOT pinned down to the table 3 m 20 m/s i 40 2 kg Calculate the linear velocity of the center of mass,...
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.
A disk with radius 0.6 meters and mass 31 kg is spinning about its own center with an angular velocity of 88ed A solid sphere (/ mR2) with a radius of 0.18 meters which is spinning with an angula...
A disk with radius 0.6 meters and mass 31 kg is spinning about its own center with an angular velocity of 88ed A solid sphere (/ mR2) with a radius of 0.18 meters which is spinning with an angular velocity of -18 ed (the negative sign indicates the opposite 6. rad sec direction), is gently lowered onto the disk a sticks to the disk. The two rotate together (about their mutual center of mass) at an angular velocity of 33...
A small 0.37 g bug stands at one end of a thin uniform bar that is...
A small 0.37 g bug stands at one end of a thin uniform bar that is initially at rest on a smooth horizontal table. The other end of the bar pivots about a nail driven into the table and can rotate freely, without friction. The bar has mass 1.1g and is 2.89 cm in length. The bug jumps off in the horizontal direction, perpendicular to the bar, with a speed of 4.3 cm/s relative to the table. What is the...
The 10 kg uniform slender bar is pinned at A to the collar, which has an upward acceleration a = 4 m/s along the vertical shaft.
The 10 kg uniform slender bar is pinned at A to the collar, which has an upward acceleration a = 4 m/s along the vertical shaft. If the bar has an angular velocity ω = 3 rad/s as it swings past the horizontal position, determine the magnitude of the reaction at A for this instant.Ans: 43.8 N
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...
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...
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 6.0-lb bar is pinned at its center O and connected to a
torsional spring. The spring has a stiffness k = 5.6 lb?ft/rad , so
that the torque developed is M=(5.6?)lb?ft, where ? is in
radians.
If the bar is released from rest when it is vertical at
?=90?, determine its angular velocity at the instant
?=45?.
3. Three masses are connected by thin rigid rods as shown below, and are initially at rest on the top of a horizontal table. A circular blob of clay (velocity shown immediately before the collision) hits and sticks to one of the masses as shown. The mass of the rod can be neglected and the object is NOT pinned down to the table 3 m 20 m/s i 40 2 kg Calculate the linear velocity of the center of mass,...
A disk with radius 0.6 meters and mass 31 kg is spinning about its own center with an angular velocity of 88ed A solid sphere (/ mR2) with a radius of 0.18 meters which is spinning with an angular velocity of -18 ed (the negative sign indicates the opposite 6. rad sec direction), is gently lowered onto the disk a sticks to the disk. The two rotate together (about their mutual center of mass) at an angular velocity of 33...
A small 0.37 g bug stands at one end of a thin uniform bar that is initially at rest on a smooth horizontal table. The other end of the bar pivots about a nail driven into the table and can rotate freely, without friction. The bar has mass 1.1g and is 2.89 cm in length. The bug jumps off in the horizontal direction, perpendicular to the bar, with a speed of 4.3 cm/s relative to the table. What is the...
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...
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