In the figure below, each ball has a mass of 2 kg, and the mechanism is initially at rest. The central rod is subjected to a moment of M 5 N-m. Assume thesize of the two balls is negligible and the mass of the two rods are negligible. Answer the following question.43) Is angular momentum conserved? Justify your response.M0.5 m

Torque is defined as rate of change of momentum.Torque=dL/dt.Here we are given that torque is 5Nm…

Answered: In the figure below, each ball has a…

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

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A 75-kg block is attached to a cable. The cable is then attached to a rotating assembly with a mass moment of inertia of 18 kg-m^2. The bearing friction applied at the rotating assembly equivalent to a couple of 45 N-m CCW. The block's downward speed is initially at 2 m/s. 0.3 m 75 kg m 1. Which of the following does positive work on the system? 2. Which of the following is closest to the work done by the bearing friction after the rotating assembly has rotated 1.5 radians CW? 3. Which of the following is closest to the work done by the weight of the 75-kg block after the rotating assembly has rotated 1.5 radians CW? 4. Which of the following is closest to the total work done by the system after the rotating assembly has rotated 1.5 radians CW? 5. Which is following is closest to the speed of the 75-kg block after the rotating assembly rotated 1.5 rad CW?
1) The figure below shows a system in which mass m2 is added to mass m1 (the spring is not stretched). Answer the following questions about the motion when mass m2 is released freely. However, the mass and moment of inertia of the movable pulley are ignored. M X1 mi m2 X2 1) Show the kinetic energy of the entire system using x1 and x2 (just the answer is enough). 2) Show the relationship between x1 and x2 (just the answer is enough). 3) Find the equivalent mass of the entire system. 4) Show the equation of motion of the system using this equivalent mass. However, assume that the damping is zero. 5) Find the natural frequency
A spring is stretched 3 cm by a force of 6 N. Thus, according to Hooke's Law, the spring DO = 200 N. Assume as usual, that r = 0 is the equilibrium position. constant is k 0.03 A mass of 8 kg is now attached to the end of the spring, and it is set in motion with initial position xo = 0 and with initial velocity 10 (m) to the left. ( So, v(0) = -10(m).)
1. A cart is being pulled by a motor. The cart has a mass of m = 200 kg. The motor applies a horizontal force of F = 800 N to the center of the right side of the cart. The cart is 1m tall, the total length is 1.5m, the wheels are 1m apart from each other, and the center of mass G is 0.4 m above the floor and on the horizontal center. Ignore friction. If there is no rotational movement of the cart, determine the following: 1. The cart's acceleration 2. The reaction (normal) force at the front pair of wheels. 3. The reaction (normal) force at the rear pair of wheels. F 77 TI T
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R - m 130° A hollow wheel of mass given by m 50 kg rolls down an incline of 30° without slipping. The inner radius of the wheel is given by R = 50 mm and its thickness is given by d = 5 mm. Gravity acts down. (a) Show that the moment of inertia of the wheel is given by Ī = 138 125 kg mm². (b) Show that the linear acceleration of the wheel's centre of gravity ā is related to the angular acceleration of the wheel a via a (55 mm)a. = (c) Analyse an appropriate free-body diagram to determine the linear acceleration of the wheel's centre of gravity ā.
Motorized moving platform is lifting a car with some acceleration. If the combined weight of the lift platform and car is 2800kg, and the motorized lift weight is 200000kg, determine the maximum acceleration of the platform before tipping occurs. Weight of the platform a=2.1m, b = 4m, c = 4.2m, d = 3m FBD of the lift: Vertical lift platform. center of gravity (car) FBD of the car: a C Too center of gravity (lift)
b. Find the equation of motion of the system below using Lagrange's equation. Masses m₁, m2, and m3 are added to the compound pendulums with rod masses Mr₁, Mr2, and Mr31 respectively. Assume the mass of all pendulums are evenly distributed so that their center of gravity is in the middle of the pendulum of length L. Use the small angle assumption. O ○ L 02 M1 L m3 m2
A. A motorcycle and rider have a combined mass of 350kg. The wheels each have a mass of 20kg, diameter of 500mm and radius of gyration of 200mm. The rider accelerates uniformly from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. The average resistance to motion, including drag, is 105 N. 1. Determine the total work done as the motorcycle ascends the incline. 2. Calculate the amount of power developed during the climb. B. At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate: 1. The angular velocity of each of the wheels. 2. The moment of inertia of each wheel. 3. The magnitude and effect of the gyroscopic torque produced on the bike.
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