14.49 Two small spheres A and B, with masses of 2.5 kg and 1 kg, re- spectively are connected by a rigid rod of negligible mass. The two spheres are resting on a horizontal, frictionless surface when A is suddenly given the velocity vo = (3.5 m/s)i. Determine (a) the linear momentum of the system and its angular momentum about its mass center G, (b) the velocities of A and B after the rod AB has rotated through 180°. B 210 mm

14.49 Two small spheres A and B, with masses of 2.5 kg and 1 kg, re- spectively are connected by a rigid rod of negligible mass. The two spheres are resting on a horizontal, frictionless surface when A is suddenly given the velocity vo = (3.5 m/s)i. Determine (a) the linear momentum of the system and its angular momentum about its mass center G, (b) the velocities of A and B after the rod AB has rotated through 180°. B 210 mm

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Collision at an Angle To apply conservation of linear momentum in an inelastic collision. Two cars,…

A: Given: The mass of each car = m kg The one car travelling north has speed = 2v m/s The speed of…

Q: A ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and…

A: Given: A swinging pendulum

Q: A section of track for a roller coaster consists of two circular arcs AB and CD joined by a straight…

A: The radius of AB, r = 27 mThe radius of CD, R = 72 mThe total mass of the car and its occupant, M =…

Q: Two steel balls, each of mass m = 1.84 kg, are welded to a light rod of length L = 545 mm and…

Q: f on The 4-lb rod AB hangs in the vertical position. A 2-lb block, sliding on a smooth horizontal…

Q: ) Initially at rest, A Mitsubishi Pajero and a Toyota Vios are connected by a tow cable. The winch…

A: Given: Mass (Pajero) = 2.5 Mg Mass (Toyota) = 1.25 Mg L = 5m Vrelative = 2 m/s

Q: Q4. A 400-kg car (car A) traveling at 20 m/s overtakes a 800-kg car (car B) traveling at 10 m/s in…

Q: Box A is traveling down the smooth incline (0 = 11°). The velocity of box A just before impact with…

A: Given data: VAi=5 m/smA=3 kgθ=11°mB=20 kg Need to determine the momentum of box just before the…

Q: A MATERIAL POINT WITH MASS M SLIPS FRICTIONLESS OVER THE SURFACE OF A FIXED HALF-CYLINDER WITH…

Q: 16. A rod of mass M-2.5 kg and length L can rotate about a hinge at its left end and is initially at…

Q: A block B of mass m (see Figure 1) can slide freely on a frictionless arm OA which rotates in a…

A: FREE BODY DIAGRAM is a diagram of the system which represents all the forces acting on the system.…

Q: 14.73 The jet engine shown scoops in air at A at a rate of 90 kg/s and discharges it at B with a…

A: The mass flow rate of air .The velocity of B relative to the airplane is .

Q: 1. The use of a "tether sling" is a proposed method for increasing the velocity of a spacecraft for…

A: Given Datam=100000kgF=1000Nl=100kmt=10 s

Q: The 0.5-kg flyballs of a centrifugal governor revolve at a constant speed vin the horizontal circle…

Q: Two steel balls, each of mass m = 1.84 kg, are welded to a light rod of length L = 545 mm and…

A: given data mass of each ball(m)=1.84 kglight rod…

Q: Determine the maximum height above point A reached by the rocket. (You must provide an answer before…

A: Given: The initial velocity of rocket vo=96ms Distance d=100 m

Q: Problem 15.140 | A particle of mass m is attached to a light string that runs through a smooth hole…

A: The objective of the question is to determine the speed of the mass at two different positions and…

Q: Two steel balls, each of mass m = 1.84 kg, are welded to a light rod of length L = 545 mm and…

Q: Show that the angular momentum HB of a rigid body about point B can be obtained by adding to the…

Q: The two blocks shown are originally at rest. Neglecting the masses of the pulleys and the effect of…

A: Given data for The two blocks shown are originally at rest. Neglecting the masses of the pulleys and…

Q: 14.11 A system consists of three identical 19.32-lb particles A, B, and C. The velocities of the…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

14.49 Two small spheres A and B, with masses of 2.5 kg and 1 kg, re-
spectively are connected by a rigid rod of negligible mass. The two spheres
are resting on a horizontal, frictionless surface when A is suddenly given the
velocity vo = (3.5 m/s)i. Determine (a) the linear momentum of the system
and its angular momentum about its mass center G, (b) the velocities of A
and B after the rod AB has rotated through 180°.
B
210 mm

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Problem 81. The two mine cars of equal mass are connected by a rope which is initially slack. Car A is given a shove which imparts to it a velocity of 4 ft/sec with car B initially at rest. When the slack is taken up, the rope suffers a tension impact which imparts a velocity to car B and reduces the velocity of car A. 4 ft/sec (a) If 40 percent of the kinetic energy of car A is lost during the rope impact, calculate the velocity v imparted to car B. (b) Following the initial impact, car B overtakes car A and the two are coupled together. Calculate their final common velocity vc. ~ B S A S
5. If a ball of weight W is dropped from a height h above the ground (datum), show that the total mechanical energy of the ball in its initial position equals the total mechanical energy of the ball just before it strikes the ground AND also equals the total mechanical energy of the ball when it has fallen h/2. h Datum h 2 Potential Energy (max) Kinetic Energy (zero) Potential Energy and Kinetic Energy Potential Energy (zero) Kinetic Energy (max)
Firecracker a. A firecracker is at rest on a frictionless horizontal table. The firecracker explodes into two pieces of unequal mass that move in opposite directions on the table. Before i. Is the net force on the left piece always zero? Explain. After I1. Is the net force on the system consisting of both pieces always zero? Explain. iii. Is the momentum of the left piece conserved? Explain. 1V. Is the momentum of the system consisting of both pieces conserved? Explain.
2. A 0.600-kg particle has a speed of 2.00 m/s at point A and kinetic energy of 7.50 J at point B. What is (a) its kinetic energy at A? (b) its speed at B? (c) the total work done on the particle as it moves from A to B?
P.3) Determine the angular momentum Hp for the three masses A, B, and C (ma = mB = mc 0.2 kg) when all three masses are clustered at the origin O of the Cartesian coordinate axes. The point P is located at 0.1 m away from the origin in k direction. The velocities of the masses are; VA = 0.05 i m/s, vB = 0.05 į m/s, and vc = 0.05 k m/s. CB P
In study 1, when did C1 and C2 each an an amount of momentum equal to zero? In study 1, under what condition did C1 and C2 have the same speed when the spring was expanding?
6. Exercise 2.5.32 Block A is observed to be dropping down at a steady 0.9 ft/s. At what velocity must the free end of the pulley be moving? L
1. Which of the following has impulse/s that is/are NOT considered negligible during the impact of the sphere to member AB? I. Weight of Member ABC II. Weight of Sphere D III. Impact force between Sphere D and Member ABC IV. The reactions at pin B
(2) A 5 lb ball is attached to a 3 ft long rope and it rotates in a vertical circular path at a constant tangent velocity of 30 ft/s. (a) Determine the tension in the rope when the ball is at point A. (b) Determine the tension in the rope when the ball is at point B. B 3 ft A