Skip to main content

A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle θ from the normal and sticks to the rod after the collision. What is the angular speed ωf of the system immediately after the collision, in terms of system parameters and I?

Question

  A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle θ from the normal and sticks to the rod after the collision. What is the angular speed ωf of the system immediately after the collision, in terms of system parameters and I

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
Not helpful? See similar books
Similar questions
To this solution
Learn more about
Moment of a Force
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Physics Q&A

Find answers to questions asked by students like you.

Q: Two objects of masses m, =2 kg and m,=3 kg are fixed to the ends of a light, rigid rod which is…

A: Given: The mass of the first object is m1=2 kg, The mass of the second object is m2=3 kg, V2=4 m/s.…

Q: A block of mass m = 0.65 kg, moving at constant speed v = 5.00 m/s, slides along a horizontal,…

A: Click to see the answer

Q: A wooden block is at rest on a frictionless horizontal plane, connected to a rod of negligible mass…

A: Given data: The mass of block is M. The mass of lead is m=0.5M. The speed of lead is v.

Q: A wooden block is at rest on a frictionless horizontal plane, connected to a rod of negligible mass…

A: We have to use the conservation of angular momentum in this context as there is no external torque.…

Q: On a frictionless table, a glob of clay of mass 0.240kg strikes a bar of mass 1.560kg…

A: Given- mass of clay glob , m= 0.240 kg mass of bar ,M = 1.560 kg   speed of clay glob before…

Q: What is the magnitude L of the angular momentum of the two-particle system around a point midway…

A: Angular momentum is the moment of momentum

Q: Consider a particle A of mass ma = 9 kg moving at a velocity JA = 3 i + 3 j m/s and a particle B of…

A: Click to see the answer

Q: A uniform rod of mass 190 g and length 100 cm is free to rotate in a horizontal plane around a fixed…

A: Mass of the rod , Mrod = 190 gm = 0.19 kg Length , l = 100 cm = 1 m Mass of the bead , Mbead = 24 gm…

Q: A block of mass m = 0.75 kg, moving at constant speed v = 4.00 m/s, slides along a horizontal,…

A: Click to see the answer

Q: A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A…

A: Click to see the answer

Q: Three light rods of negligible mass are joined to form an equilateral triangle of length L = 1.90 m.…

A: We know that moment of inertia is given by  I = MR2.......(1) a) I= m1(L/2)2+m2(L/2)2   I=…

Q: A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed…

A: It is given that,

Q: A 0.8 kg particle is traveling in the xy-plane along the line  y = 2.6 m with a velocity 4.1 m/s.…

A: Introduction: Among various conserved quantity, angular momentum is conserved quantity. Angular…

Q: Consider a rotating disk of radius R that has the exotic property that it can change its mass per…

A: Click to see the answer

Q: Consider a rotating disk of radius R that has the exotic property that it can change its mass per…

A: Given in question - Mass per unit area of the disk (m) = ar3                                  Radius…

Q: Three light rods of negligible mass are joined to form an equilateral triangle of length L = 2.00 m.…

A: Given data The length of the equilateral triangle is L = 2 m The first mass is m1 = 2 kg The second…

Q: A uniform 2-kg solid disk of radius R=0.4m is free to rotate on a frictionless horizontal axle…

A: the angular velocityω of the disk.given,mass of solid disk(mdisk)=2 kgRadius(R)=0.4 mmass of…

Q: Consider a wood block of mass 1.00 kg, tied to a massless string of length 2.00 m, that is shot with…

A: Given: The mass of the wooden block is 1.00 kg. The length of the string is 2.00 m. The mass of the…

Q: Consider a rotating disk of radius R that has the exotic property that it can change its mass per…

A: Click to see the answer

Q: Consider a rotating disk of radius R that has the exotic property that it can change its mass per…

A: Click to see the answer

Q: A disk of mass m, = 60.0 g and radius r, = 4.50 cm slides on a frictionless sheet of ice with…

A: Given that                      disc of mass  m1 =60g ,   r1 = 4.5 cm…

Q: A disk of mass m, = 60.0 g and radius r, = 4.50 cm slides on a frictionless sheet of ice with…

A: The center of mass of two discs is at a distance of 6.65 cm from m1

Q: A wooden block of mass M resting on a frictionless, horizontal surface is attached to a rigid rod of…

A: In the given system, the bullet initially travelling with speed v m/s gets embedded in the block…

Q: A puck of mass m = 80.0 g and radius r = 4.00 cm glides across an air table at a speed v = 1.5 m/s.…

A: The given values are, m=80.0 g=0.080 kgr=4.00 cm=0.04 mv=1.5 m/sM=120 g=0.120 kgR=6.00 cm=0.06 mV=0…

Q: Consider the objects labeled A, B, C, and D shown in the figure. A В C D T-T* Each object is…

A: Moment of inertia of a thin rod with uniform mass distribution of length L and mass M is given by…

Q: Consider the Atwood machine, where two masses m1 = 12.6 kg and m2 = 4.2 kg are connected by an ideal…

A: m1= 12.6kg , m2= 4.2kg , M  Radius (R) = 0.15 m  Height ( h) = 3.29 m  Velocity (v) = 3.31 m/s

Q: Two particles, each of mass 2.90 * 10-4 kg and speed 5.46 m/s, travel in opposite directions along…

A: Given:  Mass of each particle, m = 2.9 x 10-4 kg  velocity of each particle, v = 5.46 m/s  distance…

Q: An object K with a mass 2kg moves with a constant velocity of 60 m/s in the + x axis direction in a…

A: Given: Mass of object k is m = 2 kg. Velocity of object k is u = 60 m/s. Mass of object L is M = 6…

Q: A sanding disk with rotational inertia 2.0 x 103 kg-m² is attached to an electric drill whose motor…

A: Click to see the answer

Q: A small Particle of mass 50 gram fired horizontally at a speed of 8 m/s . When it collides and…

A: Write a given values of this question.

Q: Consider the figure below. A baton consists of two uniform spheres, each of mass 0.50 kg and radius…

A: Given: Length of baton L=30 cm.=0.3 m. Diameter of sphere d=10 cm.=0.1 m. Mass of baton m = 60 g.

Q: A rod of mass M = 3.35 kg and length L can rotate about a hinge at its left end and is initially at…

A: a)The required initial angular momentum is,

Q: A 0.9 kg particle is traveling in the xy-plane along the line y = 2.5 m with a velocity 2.0 m/s.…

A: Click to see the answer

Q: an overhead view of a thin uniform rod of length 0.600 m and mass M rotating horizontally at 80.0…

A: Click to see the answer

Q: A pendulum bob of mass 2.0 kg is tied to a string of length 1.2 m and set into motion in a circular…

A: A pendulum is a body or an object that is suspended from a fixed point thus it can swing from left…

Q: Consider system A, consisting of two disks of radius R, with both rotating clockwise. Now consider…

A: Consider system A, consisting of two disks of radius R, with both rotating clockwise. Now consider…

Q: The four masses shown in the diagram are connected by massless, rigid rods. The mass of the A…

A: The moment of Inertia(I) about an axis that passes throughmass A and is perpendicular to the…

Q: Three identical point masses are arranged to an equilateral triangle as shown. Let point P be the…

A: Click to see the answer

Q: A meterstick with a width of 0.03 m is rotated around the one of its ends. If a 0.20 kg spherical…

A: Given data- Mass of ball M=0.2 kg width of th meterstick w=0.03 m Radius of ball R=0.02m Now, moment…

Q: The figure is an overhead view of a thin uniform rod of length 0.845 m and mass M rotating…

A: Given :- L = 0.845 m mass = M angular speed = 20.4 rad/sec m= M/3 Vp is greater then 4.54 m/s

Q: Disk A, with a mass of 2.0 kg and a radius of 40 cm, rotates clockwise about a frictionless vertical…

A: given quantities: m1 = 2 kg r1 = 0.4 m w1 = - 30 rev/s m2 = 2 kg r2 = 0.2 m w2 = 30 rev/s The…

Q: On a frictionless table, a m = 0.70 kg glob of clay strikes a uniform M = 0.82 kg bar…

A: Click to see the answer

Q: A rod of length l=0.8m and mass M= 3.5kg joins two particles with masses m, =3.6kg and m2 = 3.2kg,…

A: Click to see the answer

Q: A ball of mass M and radius R rolls smoothly from rest, at initial height h, down the above ramp and…

A: At the top of the ramp, the initial velocity is zero. At the bottom of the ramp, the height is zero.

Q: Each of the following objects has a radius of 0.176 m and a mass of 2.03 kg, and each rotates about…

A: Given Data: Radius is R=0.176 m Mass is m=2.03 kg Angular speed is w=41.9 rad/s

Q: An object of mass 2.75 kg is moving with a velocity v = (3.8of – 5.10k) m/s. What is the angular…

A: Click to see the answer

Q: Consider two blocks glued to the top of a disk that is turning at a non-zero angular speed, one…

A: Click to see the answer

Q: Consider the system shown below where four point masses are connected to each other by massless…

A: We have two objects of mass m=7 kg at points (a,0) and (-a,0) where a=1.2 m and two objects of mass…

Q: Momentum, P = (2.0 kg m/sec)î – (7.0 kg m/sec)ĵ acts on a particle with position vector 7 = (3.0 m)î…

A: Given data: The momentum is, p→=2 Kg.m/Seci^ -7 Kg.m/Secj^ The position vector is, r→=3.0 mi^ - 1.0…

Q: Two identical twins hold on to a rope, one at each end, on a smooth, frictionless ice surface. They…

A: a) Angular momentum of each twin=mass×speed×radius of the circle=78 kg×5.40 m/s×3.5 m2…

Knowledge Booster
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • A light, rigid rod of length ℓ = 1.00 m joins two particles, with masses  m1 = 4.00 kg and m2 = 3.00 kg, at its ends. The combination rotates in the xy-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 6.20 m/s. (Enter the magnitude to at least two decimal places in kg · m2/s.)   What If? What would be the new angular momentum of the system (in kg · m2/s) if each of the masses were instead a solid sphere 11.5 cm in diameter? (Round your answer to at least two decimal places.)
    A uniform rod of mass 190 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 24 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod's center, 12 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 15.0 rad/s. When the catches are released, the beads slide outward along the rod.   (a)What is the rod's angular velocity (in rad/s) when the beads reach the ends of the rod? (Indicate the direction with the sign of your answer.) _______ rad/s   (b)What is the rod's angular velocity (in rad/s) if the beads fly off the rod? (Indicate the direction with the sign of your answer.) ________rad/s
    Four identical particles of mass mmm are mounted at equal intervals on a thin rod of length ℓ and mass M, with one mass at each end of the rod.     Part A If the system is rotated with angular velocity ω about an axis perpendicular to the rod through one of the end masses, determine the kinetic energy of the system.   Express your answer in terms of the variables m, M, l, and ωωomega.     PART B:If the system is rotated with angular velocity ω about an axis perpendicular to the rod through one of the end masses, determine the angular momentum of the system.
    • SEE MORE QUESTIONS
    Recommended textbooks for you
  • Physics for Scientists and Engineers with Modern ...
    Physics
    ISBN:9781337553292
    Author:Raymond A. Serway, John W. Jewett
    Publisher:Cengage Learning
    Physics for Scientists and Engineers
    Physics
    ISBN:9781337553278
    Author:Raymond A. Serway, John W. Jewett
    Publisher:Cengage Learning
    Physics for Scientists and Engineers: Foundations...
    Physics
    ISBN:9781133939146
    Author:Katz, Debora M.
    Publisher:Cengage Learning
  • Classical Dynamics of Particles and Systems
    Physics
    ISBN:9780534408961
    Author:Stephen T. Thornton, Jerry B. Marion
    Publisher:Cengage Learning
    Principles of Physics: A Calculus-Based Text
    Physics
    ISBN:9781133104261
    Author:Raymond A. Serway, John W. Jewett
    Publisher:Cengage Learning
    University Physics Volume 1
    Physics
    ISBN:9781938168277
    Author:William Moebs, Samuel J. Ling, Jeff Sanny
    Publisher:OpenStax - Rice University
  • Physics for Scientists and Engineers with Modern ...
    Physics
    ISBN:9781337553292
    Author:Raymond A. Serway, John W. Jewett
    Publisher:Cengage Learning
    Physics for Scientists and Engineers
    Physics
    ISBN:9781337553278
    Author:Raymond A. Serway, John W. Jewett
    Publisher:Cengage Learning
    Physics for Scientists and Engineers: Foundations...
    Physics
    ISBN:9781133939146
    Author:Katz, Debora M.
    Publisher:Cengage Learning
    Classical Dynamics of Particles and Systems
    Physics
    ISBN:9780534408961
    Author:Stephen T. Thornton, Jerry B. Marion
    Publisher:Cengage Learning
    Principles of Physics: A Calculus-Based Text
    Physics
    ISBN:9781133104261
    Author:Raymond A. Serway, John W. Jewett
    Publisher:Cengage Learning
    University Physics Volume 1
    Physics
    ISBN:9781938168277
    Author:William Moebs, Samuel J. Ling, Jeff Sanny
    Publisher:OpenStax - Rice University