The moment of inertia of a pair of locomotive driving wheels with the axle is 150 kg.m². The distance between the wheel centres is 1.2 m and the diameter of the wheel treads is 2m. Due to defective ballasting one wheel falls by 5 mm and raises again in a total time of 0.2 seconds while the locomotive travels on a level track at 100 kmph. Assuming that the displacement of the wheel takes place with simple harmonic motion about mid point of total fall. Determine the gyroscopic couple produced. Hint: Consider this motion as pitching motion in ship. Draw free body diagram of each link for the following figure 44. 75° D 200 mm 250 N AD-150mm BC-AD-500mm DC-300mm [F450mm

The moment of inertia of a pair of locomotive driving wheels with the axle is 150 kg.m². The distance between the wheel centres is 1.2 m and the diameter of the wheel treads is 2m. Due to defective ballasting one wheel falls by 5 mm and raises again in a total time of 0.2 seconds while the locomotive travels on a level track at 100 kmph. Assuming that the displacement of the wheel takes place with simple harmonic motion about mid point of total fall. Determine the gyroscopic couple produced. Hint: Consider this motion as pitching motion in ship. Draw free body diagram of each link for the following figure 44. 75° D 200 mm 250 N AD-150mm BC-AD-500mm DC-300mm [F450mm

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: Problem #5 The moment of inertia I of a cheap door of mass M=4.00 kg (about an axis going through…

A: given: mass of dart m=0.3 kg speed of dart v= 20 m/s width of dart R= 0.96m I =moment of inertia of…

Q: 8. The mass of the gear wheel is ma = 50 kg and the radius of inertia kO = 125 mm. Rack B stays in…

Q: In a four bar mechanism the link AB rotates with angular velocity of 20rad/s and angular…

Q: A disk, mass 2kg, radius 0.5m spins at a constant angular speed w = 12s¹ about an axle that is at an…

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

Q: 2 An object is made of two identical uniform 3m long rods connected as shown. The total mass of the…

Q: What is the kinetic energy of the following system? Masses m, and m₂ are suspended by inextensible…

Q: Conservation of Energy Theorem A wheel is rotated without slipping. The mass of the wheel is m-3kg,…

Q: A flywheel with a radius of gyration 0.5 m is fitted to a multi cylinder engine, which runs at a…

A: Given k=0.5 mN=360rpmCs=0.02−(−0.04)=0.06ΔE=45kN⋅mTo FindMoment of inertia of the flywheelMass of…

Q: A single cylinder reciprocating engine has speeded 300 RPM. Stroke 250 mm, mass of reciprocating…

A: Given,Reciprocating mass parts, Revolving parts mass, Fraction of reciprocating parts to be…

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

The moment of inertia of a pair of locomotive driving wheels with the axle
is 150 kg.m². The distance between the wheel centres is 1.2 m and the
diameter of the wheel treads is 2m. Due to defective ballasting one wheel
falls by 5 mm and raises again in a total time of 0.2 seconds while the
locomotive travels on a level track at 100 kmph. Assuming that the
displacement of the wheel takes place with simple harmonic motion about
mid point of total fall. Determine the gyroscopic couple produced.
Hint: Consider this motion as pitching motion in ship.
Draw free body diagram of each link for the following figure
E
250 N
200 mm
B
NT
75°
AD-150mm
BC-AD-500mm
DC-300mm
[F450mm

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 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

Derive the equations of motion using Lagrange's equations. (I, =mr? ) THE MOTION IS ON THE HORIZONTAL PLANE (NO GRAVITY) Trailer, mass M Cylinder, k1 mass m k2
The accelerating torque increases the speed of a flywheel from x rpm to y rpm in 15 seconds. Find 1. The accelerating torque produced during the above period. 2. Increase in the kinetic energy of the flywheel 3. Change in the angular momentum of the flywheel. 4. Number of revolutions made by the flywheel during this period. 5. Find the braking torque required to stop the flywheel completely. Assume suitable mass and radius of gyration. Also assume suitable values for rpm x and y above.
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 uniform rod of mass M = 2.3 kg and length L = 0.2 m, lying on a frictionless horizontal plane, is free to pivot about a vertical axis through one end, as shown. The moment of inertia of the rod about this axis is given by 1/3 ML2. If a force F = 7 N, q = 47° acts as shown, what is the resulting angular acceleration (in rad/s2) about the pivot point?
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)