2 An object is made of two identical uniform 3m long rods connected as shown. The total mass of the system is 60kg. The object can rotate in the plane of the page about a fixed axis at Point A. There is a friction moment of 500 N m about point A. a. What is the mass moment of inertia of the object about Point A? b. If the object is released from rest in the orientation shown, what will be is initial angular acceleration? stationary A total mass= 60 kg Mf = 500 Nm 3 m 3 m g

2 An object is made of two identical uniform 3m long rods connected as shown. The total mass of the system is 60kg. The object can rotate in the plane of the page about a fixed axis at Point A. There is a friction moment of 500 N m about point A. a. What is the mass moment of inertia of the object about Point A? b. If the object is released from rest in the orientation shown, what will be is initial angular acceleration? stationary A total mass= 60 kg Mf = 500 Nm 3 m 3 m g

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: Because of the way in which the mass is distributed, wheel A has a radius of gyration of 0.65 m and…

A: For each wheels A and BRadius of the wheel A and B is RA= RB=1m Given mass of Wheel A and B…

Q: Find the magnitude and position of the balancing mass at a radius of 13cm by using the analytical…

Q: The spool of cable has a mass of m (100 kg) and a radius of gyration of k (0.77m). The tension in…

A: given; mass(m)=100kgradius of gyration(kc)=077mtension force(T)=(30t3+77t )Ninner…

Q: Arm BC has a mass of 14 kg, and the moment of intertia about its center of mass is 2 kg m². Point B…

A: According to the given information we have an arm BC mass of 14 kg, and the moment of inertia about…

Q: A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum.…

Q: Model the arm ABC as a single rigid body. Its mass is 320 kg, and the moment of inertia about its…

A: The mass of the rigid body is M=320 kg. The moment of inertia about the center of mass of I=390…

Q: 3) A 40 kg uniform disk rolls without slipping up an inclined plane. In the configuration shown, the…

Q: A child goes for a bike ride on a bike that weighs 21.5 lb. The child weighs 63 lb and is able to…

Q: Each paddle wheel of a steamer have a mass of 1600 kg and a radius of gyration of 1.2 meters. The…

A: gyroscopic couple = 904.778 N.m

Q: the pendulum radius of gyration about an axis perpendicular to the screen passing through point O

Q: Calculate the center of mass acceleration of the cylinder rolling down the inclined plane in the…

Q: At the instant shown, the uniform slender rod with mass m = 33 kg is pin-supported at point O. It…

Q: The center of the 200-lb wheel has velocity of 2 ft/s at the position shown as it rolls down the…

A: Conservation of energy principle states that the total amount of energy at the initial state will be…

Q: At the instant shown, the uniform slender rod with mass m = 32 kg is pin-supported at point O. It…

Q: 4. A pair of connected pulleys receive a force F = 75 N and P = 150 N as depicted in the image. The…

Q: An airplane sitting on a grassy field has a single propeller consisting of 3 identical blades, as…

Q: The 150-kg wheel shown in Fig. In the initial position shown, the velocity of G is 2 m/s down the…

A: Given data: m=150 kgk=0.36 mv=2 m/ss1=150 mmks=1000 N/mr=0.45 mθ=30° Need to determine the maximum…

Q: THE WEIGHT OF THE UNBALANCED WHEEL IS 200 KG AND IT HS A RADIUS OF GYRATION ABOUT ITS MASS CENTER,…

A: m = 200 kgk = 0.3 mω = 3 rad/sIt is asked to find the forces at C

Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

2 An object is made of two identical uniform 3m long rods connected as shown. The total
mass of the system is 60kg. The object can rotate in the plane of the page about a fixed
axis at Point A. There is a friction moment of 500 N m about point A.
a. What is the mass moment of inertia of the object about Point A?
b. If the object is released from rest in the orientation shown, what will be is initial
angular acceleration?
stationary
Mf
A
=
total mass= 60 kg
500 Nm
3 m
3 m
g

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: (a) Draw the given diagram.

VIEW

Step 2: Calculate the moment of inertia about point A.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 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

The rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.
Edit question Calculate the radius of gyration for the system of two tubes and a seat that form a swing with respect to the axis A shown in the figure. The dimensions of this system are shown in the figure below.The tubes have a mass of 19 kg/m. This means that each meter of tube has a mass of 19. Tubes can be thought of as slender rods.The seat has a mass of 23 kg and can be considered as a thin plate. Note that several views of the swing are offered so that you can better understand which is the reference axis A and the necessary dimensions. As you solve the problem, take into account that you are going to fill a table with the following format. It must be filled with the corresponding units.
Consider the wheel shown below with radius R, mass m, and radius of gyration ko¹ The wheel rolls without slipping under the action of a clockwise torque M. At the instant shown the spring with spring constant ks is unstretched. Derive an expression for the velocity of the wheel center of mass G after the center of mass has moved a distance d. (Hint: Use rigid body work-energy principles. The work done to the system by the applied moment is McA0 and A0 can be related to the distace d by the no-slip condition.) Us G R M м, ко ////
A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)
The spool of cable has a mass of m and a radius of gyration of k. The tension in the cable T is a function of time t, when this in seconds. Neglect the mass of the unwound cable, and assume it is always at a constant radius. a.) What is the moment of Inertia of the spool? b.) What is the angular acceleration of the wheel at t (Use + for the ccw direction)? c.) How quickly is the cable being pulled at time t (Use + for to the right) in m/s? do T d₁ 0 = 60° Variable do d₂ h kc m T TEL Value 1m 0.5 m 2.25 m 0.77 m 100 kg 30t³ +77t N 1.81 s 1352 + 0) N h