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 5kN is acting 50 mm below the centre of gravity of vehicle.

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 5kN is acting 50 mm below the centre of gravity of vehicle.

Name: A four-wheeled vehicle of total mass 5000 kg has two pairs of wheels
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: A four-wheeled vehicle of total mass 5000 kg has two pairs of wheels of500 mm radius. Each pair of wheels with axles has mass of 750 kg, the radius of gyration of eachwheel being 400 mm. The axles are 2 metres apart and the c.g. of vehicle is mid-wa

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

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.
The mass of flywheel of an engine is 8 tonnes and the radius of gyration is 1.8 metres. It is found from the turning moment diagram that the fluctuation of energy is 100 kN-m. If the mean speed of the engine is 150 r.p.m., find the maximum and minimum speeds.
5kg plate, and 3 kg slender rod. FIND, the radius of gyration of the pendulum about an axis perpendicular to the screen and passing through the point G.
The centroidal mass moment of inertia ofthe pulley assembly is 20 ft-lb-s2. Determine (a) the tension in the cordsupporting 161-lb block , (b)the tension supporting the 322-lb block, and (c) the angularacceleration of the pulley system .Hint: Determine first the direction ofmotion, i.e. will block A move up ordown?
Four masses A, B, C and D rotating on the shaft at radii 180 mm, 240 mm, 120 mm and 150 mm respectively. The masses of B, C and D are 30 kg, 50 kg and 40 kg respectively. The planes in which the masses revolve are spaced 250 mm apart. Find the angular position of the masses B, C and D so that the shaft shall be in complete * .balance
Q. An engine flywheel has mass of 6.5 tonnes, and the radius of gyration is 2 m. If the maximum and minimum speeds are 120 r.p.m and 118 r.p.m respectively, find the maximum fluctuation of energy.
Problem 4. A thin, semi-circular ring of mass m and radius R is pinned to ground at point O. The bar is released from rest in the position shown. Note that a = 2R, IG = mR² - ma² (a) Find the mass moment of inertia of the body about point O (b) Find the angular acceleration of the ring when released (c) Find the reaction forces on the ring at point O Ans: (b) a=0.5(g/R); (c) Ox = (mga)/(2R), Oy = mg/2 6.0 g G a -R-
Each of the gears A and B has a mass of 10 kg and a radius of gyration of 190 mm, while gear Chas a mass of 2.5 kg and a radius of gyration of 80 mm. Consider that a couple M of constant magnitude 10 N-m is applied to gear C. 250 mm 250 mm 100 mm Determine the corresponding tangential force acting on gear A. The corresponding tangential force acting on gear A is 26.35 O N.
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.
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).
Q3/ A shaft has three eccentric of mass 1 kg each. The central plane of the eccentrics is 50 mm apart. The distances of the centers from the axis of rotation are 20, 30 and 20 mm and their angular positions are 120 apart. If the shaft is balanced by adding two niasses at a radius of 70 mm and at a distance 100 mm from the central plane of the middle eccentric, find the amount of the masses and their angular positions.
The figure shows a trolley of mass 10 kg that can move freely along a smooth fixed horizontal rail driven by a horizontal applied force, F. Pivoted to the trolley at A is a rigid link AB of mass 2 kg, length 1.5 m and inertia 0.38 kgm² about the centre of gravity of the link, which is located at the midpoint. The link is driven by a motor mounted on the trolley which applies an anticlockwise torque T to the link. When the link is at 30° to the horizontal and the mechanism is undergoing the motion shown in the figure determine the magnitude of the reaction force acting on the link at point A in the x and y directions. The positive sense for x and y is given in the figure, and gravity can be assumed to be 10 m/s². O O O F Rail B Rx = 6.94 N Ry = 21.7 N Rx = 14.29 N Ry = 10.15 N Rx = 19.62 N Ry= 22.48 N Rx = 32.05 N Ry = 45.00 N 30⁰ T w = 2 rad/s a = 1 rad/s² v = 0.5 m/s a = 0.5 m/s² g