he two thin rods shown below are initially laying on a smooth horizontal table. They each have a mass of 7 kg and a length of 1 m. The blue rod moves towards the red rod (which is stationary) with the velocity and angular velocity given below before they collide. Immediately after the collision, the two rods become permanently stuch together as illustrated on the right side of the figure. Assuming both linear and angular momentum are conserved during the purely inelastic (e = 0) collision, determine: %3D a) the velocity of the center of mass of the combined rods after the collision b) the angular velocity of the combined rods after the collision c) the amount of kinetic energy lost during the collision Before Collision After Collision V6,1 = 10 m/s Wz = -5 rad/s

he two thin rods shown below are initially laying on a smooth horizontal table. They each have a mass of 7 kg and a length of 1 m. The blue rod moves towards the red rod (which is stationary) with the velocity and angular velocity given below before they collide. Immediately after the collision, the two rods become permanently stuch together as illustrated on the right side of the figure. Assuming both linear and angular momentum are conserved during the purely inelastic (e = 0) collision, determine: %3D a) the velocity of the center of mass of the combined rods after the collision b) the angular velocity of the combined rods after the collision c) the amount of kinetic energy lost during the collision Before Collision After Collision V6,1 = 10 m/s Wz = -5 rad/s

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 60P: A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed...

See similar textbooks

Similar questions

A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of mass 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod’s center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod’s angular velocity when the beads reach the ends of the rod? (b) What is the rod’s angular velocity if the beads fly off the rod?
Describe different collisions—one in in which angular momentum is conserved, and the other in which it is not. Which condition determines whether or not angular momentum is conserved in a collision?
Two asteroids collide and stick together. The first asteroid has mass of 15103kg and is initially moving at 770 m/s. The second asteroid has mass of 20103kg and is moving at 1020 m/s. Their initial velocities made an angle of 20 with respect to each other. What is the final speed and direction with respect to the velocity of the first asteroid?
Suppose the disk in Figure has a mass of 50.0 g and an initial velocity of 30.0 m/s when it strikes the stick that is 1.20m long and 2.00 kg.What is the total linear momentum before and after the collision?
A right-handed golfer with an arm length of 70 cm, swings a 120 cm, .75 kg golf club for .5 seconds with a constant angular acceleration of 9 red/sec^2. What is the linear momentum of the club head when it impacts the ball?
In ice figure skating, a couple execute a“top” (see picture). The centre of mass ofthe woman (58 kg) is situated 1.3 m fromthe axis of rotation which is vertical andpasses through the centre of mass of theman (85 kg). They are spinning at aconstant angular velocity equal to ?? rad/sand the man and woman have moments ofinertia, about their own centres of mass, equal to 1.6 and 2.5 kg.m2 respectively. Then the woman grabs the neck of the man. At this point, her moment of inertia decreases to 1.4 kg.m2 and her body centre of gravity is 0.9 m from the axis of rotation. Determine the new angular velocity.Hints: This is a conservation of angular momentum problem, and needs the parallel axis theorem to determine moments of inertia about the axis of rotation. The skaters are moving as one body with one angular velocity, but they each have their own moments of inertia given relative to their own CoMs. For the man, that’s fine...the axis they’re rotating about passes through his CoM, but the…
Consider the figure shown below. Determine the resultant moment force about point A. Each square is 1 ft on a side
An astronaut in space becomes unteathered from her space craft while tightening bolts on a satellite, and sheknows that the conservation of momentum is her only hope to safely get back to her ship. She turns her backto the ship and throws her 3.2-kg wrench in the direction pointing away from the ship. If the astronaut andher space suit have a combined mass of 120 kg and she is able to throw the wrench with a speed of 1.7 m/s,how fast will she move toward the space craft? Hint: you can assume that the astronaut is initially at restrelative to the space craft
A 100g bird is flying with velocity of +3m/s when suddenly it crashes into a giant billboard, completely stopping it. What is the impulse of the force on the bird during its collision with the billboard?
Three masses A=3kg, B=4kg and C=5kg are connected by rods of negligible mass to form an equilateral triangle of side 8m as shown. Determine the individual moment of interia and total moment of intertia of the system about axis XY. Given theta= 20 degrees
A bullet, having a mass of 0.0400 kg moving with a velocity of 450 m/spenetrates a distance of 0.0800 m into a wooden block firmly attached to theearth. Assuming a constant accelerating force, compute the following: a) the acceleration of the bullet,b) the accelerating force,c) the time of acceleration, andd) the impulse of the collision.
It is desired to perform a decentralized elastic collision test with two identical spheres as shown in the figure. Sphere A has a velocity of 350m / s and that of sphere B is 50m / s. a) The velocity of sphere A after the collision b) Find the velocity of sphere B after the collision?