A vehicle of mass 3000 kg is being driven round a banked bend of radius 75 m on an icy day, calculate the maximum speed the vehicle can maintain without slipping outwards if the coefficient of friction between the road and the tyres is 0.2 and banking angle is 15°. Resolve force in the vertical and horizontal directions because the centripetal force is horizontal towards the axis of curvature. Note that N contributes to the vehicle's equilibrium in the vertical direction as well as maintaining the circular motion N UN mg 15°

A vehicle of mass 3000 kg is being driven round a banked bend of radius 75 m on an icy day, calculate the maximum speed the vehicle can maintain without slipping outwards if the coefficient of friction between the road and the tyres is 0.2 and banking angle is 15°. Resolve force in the vertical and horizontal directions because the centripetal force is horizontal towards the axis of curvature. Note that N contributes to the vehicle's equilibrium in the vertical direction as well as maintaining the circular motion N UN mg 15°

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.57P: The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a...

See similar textbooks

Similar questions

Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.
The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.
The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.
A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough horizontal ground and the other end against a smooth vertical wall. The ladder is indined 65°. The coefficient of friction, H, between the ladder and the ground is 0.35. A woman of mass 65 kg is slowly dimbing up the ladder. She wants to know how far up the ladder she can dimb safely. Drawa diagramshowing all the force adting on the ladder when the woman is x metres fromthe foot of the ladder. (a) (b) Find the reaction of the ground on the ladder. (c) Show that the reaction of the wall on the ladder is less than 33.25g By taking moments about the base of the ladder, find how far up th ladder she an dimb safely. (d)
A car with a four-wheel drive weighs 3000 lb and has a wheelbase of 10 ft. The e.g. is 3 ft above the pavement and 4 ft ahead of the rear wheels. Compute the active force acting at the rear wheels when the car accelerates at 1/3 g ft per sec^2? Asume the coefficient of friction is equal at all four wheels.
An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even when the floor is removed. The coefficient of static friction between the person and the wall is u, = 0.3 and the radius of the drum is R = 2m. (a) Find wmin. the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the floor is removed, the person is held up by the static frictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in (a) (c) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the drum had constant angular acceleration. Find the number of rotations made by the person within this time.
A flat belt passes over two idler pulleys and under a rotating drumof diameter 8 in. The axle of the drum is free to move vertically ina slot, and a spring keeps the drum in contact with the belt. Whatis the minimum force which should be exerted by the spring if slippageis not to occur when a 30-lb · ft torque is applied to the drum? Thecoefficient of static friction between belt and drum is 0.30 and theangle of contact is 180 degrees.
Page 6 of 8 8. Figure 7 shows a four-wheel drive car of mass m = 970 kg. The coefficients of friction is u=0.6. Neglect the mass of the tyres. (a) Determine the greatest possible acceleration of the race car so that its front tyres do not kave the ground nor the tyres slip on the track. (b) Determine the corresponding reactions on tyres A and B. (c) From (b) above, recalculate the coefficient of friction. If it is not same as either the given values H, or Hk, then in one sentence, state or explain why the difference in values? h=0.55 m a= 1.82 m B b = 2.20 m Figure 7 Page 7 of 8
合目 PO Week6 Friction_21-22.pdf ads/Week6_Friction_21-22.pdf 4. The mine car and its contents have a total mass of 6000 kg and a centre of gravity at G. If the coefficient of static friction 10 kN between the wheels and the 0.9 m • G tracks is u = 0.4 when the wheels are locked, find the normal force acting on the front wheels at B and the rear %3D A. /0.15 m B. 0.6 m- -1.5 m- wheels at A when the brakes at both A and B are locked. Does the car move? [Ans. NA = 16.5 kN, Ng =42.3 kN, the car does not move] ily
The coefficient of kinetic friction between the 30-mm- diameter pin and the pulley is 0.25. Calculate the tension T required to (a) raise the load and (b) to lower the load at a constant speed. Neglect the mass of the pulley. To 250 mm - 30 mm 500 kg 27- ☎
A ladder of length 2L and mass M is positioned on level ground leaning against a wall such that the angle between the ladder and the horizontal is α. The coefficient of static friction between the ladder and the wall and between the ladder and the ground is μstatic = 0.66. The centre of mass of the ladder is halfway along it.A. For the ladder to be in mechanical equilibrium: i. Write down equations for the total x- and y-components of the 5 forces acting on the ladder.ii. Consider torques about the centre of the ladder. In which direction (into or out of the page) does the torque due to each of the 5 forces force act? iii. Write down an equation for the sum of the torques about the centre of mass of the ladder.iv.
the system blocks shown below is in equilibrium, the weight of block A is 10 kN and for block B is 35 kN. The coefficient of friction between A and surface is 0.2 and between two block A and B is 0.15. Answer :the following P=40KN B The value of friction force between the * block B and it's surface is 25 kN 35 kN 15 kN Non above-mentioned * The system is in Equilibrium Impending to motion Kinematic