A vehicle having a wheel baseof 3.2 m has its centre of massat 1.4 m from the rear wheelsand 55 mm from the groundlevel. It moves on a level ground at a speed of54 km/h. Determine the distance moved by the carbefore coming to rest on applying the brakes to the(i) rear wheels(ii) front wheels(iii) all the four wheelsThe coefficient of friction between the tyresand the road is 0.5.ve

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Answered: A vehicle having a wheel base of 3.2 m…

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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Problem 1 The downhill racer team is testing a new design. There are 4 wheels each with a diameter of 0.4 m and a mass of 2.0 kg. The rest of the cart has a mass of 20 kg. A spring-loaded brake applies a constant force of 50 N on the two rear wheels. The coefficient of friction between a brake pad and a wheel is 0.7. The cart is traveling down a slope of 0 = 10° at 13.5 km/hr when the brake is applied. Determine how far the racer will travel down the slope until it stops. Model the wheels as uniform thin discs. G
1. Define both the coefficients of static and kinetic friction. Explain the 2. Blocks A, B, and C have weights of 50 kg, 25 kg, and 15 kg, respectively. Determine the smallest horizontal force P that will cause impending motion. The coefficient of static friction between A and B is µ₁=0.3, between B and C, µ₂=0.4, and between block C and the ground, μ3=0.35. A B C D teel moonine fa P
The man pushes on the roller with force P through a handle that connects to the central axle of the roller. If the coefficient of static friction between the 43-lb roller and the floor is Hs = 0.21, and the force Pis maximum so that the roller is about to slip, determine the angular acceleration of the roller (in rad/s?). Assume the roller to be a uniform cylinder. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 32.2 ft/s?. 1.5 ft 30°
2. The banked turns at Talladega International Super Speedway are designed so a 1760 kg race car can drive around them at 340 km/h without slowing down. The radii of the turns are 400 m. a. If the component of friction that is directed toward the center of the circle is 35,435 N, at what angle must the corners be at in order to allow this type of race? (Show an FBD) (0 = 13°) an Swes b. What is the slowest speed a car can travel and still be able to go around a corner without falling to the bottom of the track? Ignore friction and give your answer in km/h. (Show an FBD) (v = 29 m/s) mswes
Question 2 A car has a mass of 4 Mg and the center of mass at G = 400mm from the ground. The front wheels are 1.3 m and rear wheels are 0.8 m from the centre of gravity. Coefficient of kinetic friction between the wheels and the road is 0.2. Determine the acceleration if the rear driving wheels are always slipping and the front wheels are free to rotate. Neglect the mass of the wheels.
consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless what is the acceleration of mass m2 on the inclined plane? take positive acceleration to be up the ramp a2 = ?
The uniform cylinder has a mass of 30.0kg and is rotating about a horizontal axis through O at 1200 rpm. The coefficient of kinetic friction between the cylinders and braking levers is 0.200. If the spring tension is 100 N, calculate the time required for the cylinder to stop spinning.
The solid homogeneous cylinder shown has a mass of 30 kg and is rotating at 1200 rpm clockwise about a fixed horizontal axis through O. The coefficient of kinetic friction between the brake and the cylinder is 0.20. If the tension in the spring when the brake is applied is 100 N, determine the time required for the cylinder to stop rotating. Neglect the thickness of the vertical members. (Draw FBD)
3. A vehicle, mass 1400 kg, passes a bend at a speed of 54 km/hr. The radius of curvature of the road is 60 m. Determine the minimum coefficient of static friction between the car tires and the road, so that the car can pass through corners safely.
The cylinder is uniform and has a mass of 5.00 kg. It is released from rest.a) Calculate the least coefficient of friction between the cylinder and the plane for which the cylinder will roll without slipping.b) Calculate the acceleration of the center of mass G of the cylinder if it rolls without slipping.
1) Determine the average braking torque to be applied to stop the vehicle of mass 1.5 ton is movingdown the hill at a slope of 1:7 at 60 kmph and the vehicle is to be stopped at a distance of 50 m.Take the diameter of the vehicle tyre as 500 mm. If the friction energy is momentarily stored in a20 kg cast iron brake drum, what is the average temperature rise of the drum? The specific heat forcast iron may be taken as 520 J/kg ˚C.
I am not entirly sure what system this problem is decribing. what do the fbd's for this look like?

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