A four-wheeled trolley car has a total mass of 3000 kg. Each axle with its two wheels and gears has a total moment of inertia of 32 kg.m². Each wheel is of 450- mm radius. The centre distance between two wheels on an axle is 1.4 m. Each axle is driven by a motor with a speed ratio of 1:3. Each motor along with its gear has a moment of inertia of 16 kg.m² and rotates in the opposite direction to that of the axle. The centre of mass of the car is 1 m above the rails. Calculate the limiting speed of the car when it has to travel around a curve of 250-m radius without the wheels leaving the rails. www

A four-wheeled trolley car has a total mass of 3000 kg. Each axle with its two wheels and gears has a total moment of inertia of 32 kg.m². Each wheel is of 450- mm radius. The centre distance between two wheels on an axle is 1.4 m. Each axle is driven by a motor with a speed ratio of 1:3. Each motor along with its gear has a moment of inertia of 16 kg.m² and rotates in the opposite direction to that of the axle. The centre of mass of the car is 1 m above the rails. Calculate the limiting speed of the car when it has to travel around a curve of 250-m radius without the wheels leaving the rails. www

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

Similar questions

A four-wheeled vehicle of total mass 5000 kg has two pairs of wheels of 500 mm radius. Each pair of wheels with axles has mass of 750 kg, the radius of gyration of each wheel being 400 mm. The axles are 2 metres apart and the c.g. of vehicle is mid-way at a height of 1-2 m above the road surface. Find the reactions of the front and rear wheels, if tractive force of 6 kN is acting 50 mm below the centre of gravity of vehicle.
Additional exercise 1. A flywheel with a radius of gyration 0.9 m is fitted to a multi cylinder engine. It runs at 1000 rpm. If the kinetic energy produced by the flywheel is equal to 30 kN-m. Find 1. The moment of inertia of the flywheel. 2. Mass of the fly wheel.
A four wheeled trolley car has a total mass 3000kg. Each axle with its two wheels and gears has a total moment of inertia of 32kgm2. Each wheel is of 400mm radius. The centre distance between the two wheels on an axle is 1.4m. Each axle is driven by a motor with a speed ratio of 1.3. Each along with it gear has a moment of inertia of 16kgm2 and rotates in the opposite direction to that of the axle. The centre of mass of the car is 1m above the rails. Calculate the limiting speed of the car when it has to travel around a curve of 250m radius without the wheels leaving the road.
When a vehicle is accelerating, the loads on one of the wheels on the driving axle are estimated as shown below. The mass of the wheel is 18,7 kg and its diameter is 0,6 m. It has a radius of gyration of 0,23 m around its centre of mass, G. It is known that while the vehicle is accelerating, the wheels roll without slipping. Determine the mass moment of inertia of the wheel about an axis passing through the instantaneous centre of zero velocity of the wheel. |3 kN 2.2 kN 700 N m
4. In order to determine the mass moment of inertia of a 4-foot diameter flywheel, the flywheel is tested\twice with different deadweight. In the first test a weight of 20 lb is attached by cord and observed to fall 10 ft in 4.6 seconds. In the second test a weight of 40 lb falls 10 ft in 3.1 seconds. Assuming that the torque due to bearing friction is constant, determine mass moment of inertia of the flywheel. Your solution must include W supporting FBDS.
The flywheel of a small punch rotates at 300 rpm. It is known that 1800 ft-lb of work must be done each time a hole is punched. It is desired that the speed of the flywheel after 1 punching be not less than 90 percent of the original speed of 300 rpm. A. Determine the required moment of inertia of the flywheel. B. Keep a constant 25 lb - ft couple is applied to the shaft of the flywheel, determine the number of revolutions which must occur between each punching, knowing that initial velocity is to be 300 rpm at the start of each punching
5. The compound pulley shown has a centroidal mass moment of inertia of 40 N.m.sec'. determine the following: a) The angular acceleration of the pulley. b) The tension in the cord supporting the 700 N weight. c) The tension in the cord supporting the 1700 N weight. 3m 1m Ia a,=3a az=1(a) 700 N 1700 N
A caravan weighs 28 kN. It has a wheel base of 2 m, track width 1m and height ofC.G. 300 mm above the ground level and lies midway between the front andrear axle. The engine flywheel rotates at 2950 rpm clockwise when viewed from thefront. The moment of inertia of the flywheel is 4 kg-m 2 and moment of inertia ofeach wheel is 3 kg-m 2 . Find the reactions between the wheels and the ground whenthe car takes a curve of 15 m radius towards right at 30 km/h, taking intoconsideration the gyroscopic and the centrifugal effects. Each wheel radius is 400 mm.
3) These two steel wheels both have an outer radius of 1.0 m and a mass of 450 kg. Because of the way in which the mass is distributed, wheel A has a radius of gyration of 0.65 m and wheel B has a radius of gyration of 0.32 m (both about the center axis of the wheel). Wheel A: Wheel B: Each wheel is mounted on a separate shaft and a crate is lifted by winding a rope around the wheel. If a motor applies a moment of 200 N·m to the wheel, calculate how far will a 25-kg crate rise in 8.0 seconds for Wheel A, then Wheel B (assuming that all parts are at rest at t = 0).
3) These two steel wheels both have an outer radius of 1.0 m and a mass of 450 kg. Because of the way in which the mass is distributed, wheel A has a radius of gyration of 0.65 m and wheel B has a radius of gyration of 0.32 m (both about the center axis of the wheel). Wheel A: Wheel B: Each wheel is mounted on a separate shaft and a crate is lifted by winding a rope around the wheel. If a motor applies a moment of 200 N·m to the wheel, calculate how far will a 25-kg crate rise in 8.0 seconds for Wheel A, then Wheel B (assuming that all parts are at rest at t = 0). Hint: This is a constant angular acceleration and 1 revolution of the wheel equals the circumference of the wheel.
| Link BC has a mass mgc = 4 kg, with a moment of inertia about its mass center of: laac = maclic Link AB has a mass mAR = 2.4 kg, with a moment of inertia about point A of: The wheel at point C is of negligible mass. At the moment pictured below, the velocity of point C is 1.5 m/s to the right. Find the velocity of pin B after link AB has rotated through 90°.
Examples: Moments of inertia of the pendulum about an axis 1) passing through point O, and 2) mass center G of the pendulum. Both rods OA and BC are uniform. Rod OA weighs 10 lb, and BC weighs 8 lb. B A y 2 ft 1 ft1 ft C