Problem 6: In the figure below a 0.001 kg bullet with initial speed v₁ = 1800 m/sec is fired into a 0.5 kg block attached to the end of a 0.60 m rod of mass 0.50 kg. Point A is the pivot point for the rod and the bullet stays inside the block after the collision. What is the angular speed w of the system after the collision? The moment of inertia of the rod about point A is I = 1/3 M ² and the moment of a particle is I = mr². Treat the block as a particle and also treat the bullet as a particle. Answer: w = 4.5 rad/sec Bullet A Rod Block

Problem 6: In the figure below a 0.001 kg bullet with initial speed v₁ = 1800 m/sec is fired into a 0.5 kg block attached to the end of a 0.60 m rod of mass 0.50 kg. Point A is the pivot point for the rod and the bullet stays inside the block after the collision. What is the angular speed w of the system after the collision? The moment of inertia of the rod about point A is I = 1/3 M ² and the moment of a particle is I = mr². Treat the block as a particle and also treat the bullet as a particle. Answer: w = 4.5 rad/sec Bullet A Rod Block

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

I need help with this problem. Thanks
A 230-kg, 2.70-m long beam slides across the ice with a speed of 18.0 m / s (see figure). A 65.0-kg man at rest grasps it by one end (without lifting) and holds onto it; both he and the beam begin to spin on the ice. Assume frictionless motion. (a) How fast is the center of mass of the system moving after the collision? (b) With what angular speed does the man-beam system rotate with respect to its Center of Mass?
A rod having a mass of M and length of L is falling. What is the equation of motion if the uniform rod slides without friction along the surface?Hint: C is Center of Mass and gravity is considered as g.
The member shown below is fixed at O and its dimensions are h1 = 1.10 m, h2= 0.20 m, and w = 0.50 m A force F of magnitude F=40 N is applied at point A. Determine the magnitude of the moment of the force about point O.
A uniform rod of lenght L=20 cm and mass M-1 kg is lying on a frictionless table. You slide a small piece of putty of mass m=100 gr across the table so that it hits the rod straight on 5 cm from the end with a velocity v=10 m/s. After the collission the putty sticks to the rod. 1. What is the velocity of the centre of mass for the putty+rod system. 2. Where is the centre of mass of the putty+rod system 3. What is the angular speed of the putty+rod system around the centre of mass 4. What is the change in energy after the collission?
A child with a mass of 50 kg is on a circular frictionless platform with a mass of 100 kg. Treat the platform as a solid cylinder. The platform is initiallyrotating at a rate of 5 rmp (0.52 rad/s). The inner radius of the platform (where the child starts) is 2.0 m. The outer radius is 4.0 m.a. Determine the initial angular momentum of the system in kgm2/s. b. If the child moves from the inner to the outer radius, determine the new angular velocity of the system. c. While at the outside radius, the child catches a 2.0 kg ball travelling at 10 m/s perpendicular to the radius. Determine the final angularmomentum of the system.
box the final answers
A small Particle of mass 50 gram fired horizontally at a speed of 8 m/s . When it collides and embedded to the edge of a uniform solid cylinder who is initially at rest, the cylinder rotates freely about its axis through its center perpendicular to the page. If the cylinder has a mass of 0.6 kg and a radius of 20 cm, How much kinetic energy is lost in the collision? After Before O A. 1.4 J O B. 2.8 J C. 3.2 J D. 4.4 J O E. 1J
rod of length L = .9 m and mass mod = .1 kg connects two small balls of mass m = .2 kg each. The rod rotates about its midpoint with an axis perpendicular to the rod. The initial angular velocity is w, = 3 rad/s in the counterclockwise direction. A tangential force F = 9 N is applied to one of the spheres for 2 s causing the system to Rotation accelerate. a. What is the moment of inertia of the rod and ball m system? b. What is the torque acting on the system? Magnitude and direction? c. What is the angular acceleration of the system? d. What is the final angular velocity of the rod? e. What is the final speed v of one of the masses?
A sphere of mass 1.0 kg and radius 0.21 m is suspended on the rod of length 0.49 m and mass 0.43 kg as it is shown in the figure. System can rotate around uppermost point. A bullet of mass 0.02 kg strikes the sphere as it shown in the figure (aiming directly to the center of the sphere) and embeds. Find minimum velocity of bullet which allows this system to just clear the top. The answer is 300.719752599215. Please show all steps on how to get to that answer.
Masses M = 6.0 kg and m = 3.0 kg are connected by a massless rope as shown in the figure below. The pulley has radius 30 cm. Assume the pulley is a solid cylinder with moment of inertia I =(1/2)MpR2 and that Mp = 42 kg. i. What is the angular momentum of the system in terms of the speed (v) of the two blocks? ii. What is the net torque on the system? iii. Use dL/dt = τext to find the acceleration (a).
a. What is the angular velocity of the two after the collision?b. What is the kinetic energy before and after the collision?c. What is the total linear momentum before and after the collision?