A 1500-kg car enters a section of curved road in the horizontal plane and slow down at a uniform rate from a speed of 100 km/h at A to a speed of 50 km/h as it passes C. The radius of curvature of the road at A is 400 m and at C is 80 m.Determine the total horizontal force exerted by the road on the tires at position A, B, and C. Point B is the inflection point where the curvature changes direction. p = 400 m200 mB4.p = 80 m A 1500 kg car is travelling on a curved road as shown in the figure. The speed of thecar at A and C is 100kph and 50 kph, respectively. The radius of curvature of the road at A is 400 m and at C is 80 m. Point B is the inflection point where the curvaturechanges direction.p = 400 m-200 m25. Determine the force acting on A26. Determine the force acting on CBp = 80 m

Answered: Image /qna-images/answer/057207ae-a64b-46dd-a3b3-1b5021d50d79.jpg

A 1500-kg car enters a section of curved road in the horizontal plane and slow down at a uniform rate from a speed of 100 km/h at A to a speed of 50 km/h as it passes C. The radius of curvature of the road at A is 400 m and at C is 80 m. Determine the total horizontal force exerted by the road on the tires at position A, B, and C. Point B is the inflection point where the curvature changes direction.

A 1500-kg car enters a section of curved road in the horizontal plane and slow down at a uniform rate from a speed of 100 km/h at A to a speed of 50 km/h as it passes C. The radius of curvature of the road at A is 400 m and at C is 80 m. Determine the total horizontal force exerted by the road on the tires at position A, B, and C. Point B is the inflection point where the curvature changes direction.

Related questions

Q: A 55-kg child riding a Ferris wheel (radius = 11 m) travels in a vertical circle. The wheel…

Q: A car of mass m travels around a flat, circular curve of radius r at the fastest possible speed, v =…

Q: A 500 g block on top of a frictionless table top is being spun around in a circle by a string that…

Q: A puck of mass m = 0.075 kg is moving in a circle on a horizontal frictionless surface. It is held…

A: Given, m = 0.075kg L= 0.34m t= 0.65 s Formula used : Ft = mLw2 , v = Lw

Q: Engineers who design roads typically “bank” (incline) curves in such a way that a car traveling at…

Q: You are rounding a curve on the road. The speed limit is 50mi/hr and the radius of curvature of the…

Q: An object of unknown mass is tied to a string and undergoes uniform circular mo The object travels…

A: We know that when a mass of m is tied to a string and undergoes a uniform circular motion, the…

Q: Object A is moving at speed v in a circle of radius R. Object B is moving at speed 2v in a circle of…

A: (a) Given: The object A is moving at a speed v. The radius of the circle is R. Object B is moving at…

Q: A 66 g ball is fastened to one end of a string 55 cm long and the other end is held fixed at point O…

Q: The rocket propelled by a thrust T of 32 kN travels in a vertical plane and it is subjected to an…

A: Concept: The schematic diagram of the system is given below, Given: Mass (m)= 2000 kgTrust (T)=32…

Q: Please consider this question: A train derailed while rounding an unbanked curve of radius 150…

Q: Each of the space shuttle's main engines is fed liquid hydrogen by a high pressure pump. Turbine…

A: Angular speed, ω=189 rev/s =189×2π rad/s ω=1187.52 rad/s Radius, r= 0.0218 m To determine The…

Q: A boy whirls a ball on a string in a horizontal circle of radius 1 m. How many revolutions per…

Q: a vehicle with a mass of 2.5x10^3 kg is driving at a speed of 56 km/h around a level roadway with a…

A: Given , mass of vehicle , m = 2.5×10-3 kg Speed , v = 56 km/hr =56×518 = 15.56 m/s…

Q: A toy airplane is moving in a circle at constant speed (uniform circular motion) at the end of a…

A: We will use the centripetal force to find the correct statement,

Q: A race car is making a U-turn at constant speed. The coefficient of friction between the tires and…

Q: An airplane is flying in a horizontal circle at a speed of 446 km/h. If its wings are tilted 40° to…

A: speed, v = 446 km/h Angle, A = 40°

Q: A 53-kg child riding a Ferris wheel (radius = 14 m) travels in a vertical circle. The wheel…

Q: Medical testing has established that the maximum acceleration a pilot can be subjected to without…

Q: Bob is driving with constant speed in a curved path with radius r = 50 m. If the coefficient of…

A: Radius of the circular track, r=50 m Coefficient of static friction, μ=0.5 The free body diagram of…

Q: horizontal circumference at a speed of 500 km / h. The wings form an angle of 35 ° to the…

A: We know that we have given that let An airplane flies in a horizontal circumference at a speed of v…

Q: A person of mass 60 kg is in uniform circular motion on the inner surface of a vertical circle. The…

A: The mass of the person is 60 kg.The speed of the person is 20 m/s.The radius of the circular path is…

Q: Problem 2: On the International Space Station an object with mass m = 410 g is attached to a…

A: Given: The length of the string: L=0.78 m Mass of the object: m=410 g=0.410 kg Maximum tension the…

Q: In the Bohr model of the hydrogen atom the velocity of the electron is approximately 2.2 x 10° m/s.…

Q: A model airplane of mass 0.480 kg is flying at constant speed in a horizontal circle at one end of a…

A: The mass of the model airoplane is m = 0.480 kgThe lenght of the cord is L = 33.0 mThe height is h =…

Q: Part (b) What is the maximum tangential speed that the car can take the corner at without slipping…

A: Write the expression of the maximum tangential speed. μd=v2rgv=μdrg

Q: A toy airplane with a mass of exactly 0.200 kg is tied to a 1.50 m string. The other end of the…

A: Given : mass of toy, m = 0.2 kg length of string, L = 1.50 m Angle with…

Q: A stone that is connected to a string is being rotated horizontally. The stone completes one full…

Question

Determine the total horizontal force exerted by the road on the tires at position A, B, and C. Point B is the inflection point where the curvature changes direction.

A 1500 kg car is travelling on a curved road as shown in the figure. The speed of the
car at A and C is 100kph and 50 kph, respectively. The radius of curvature of the roa
d at A is 400 m and at C is 80 m. Point B is the inflection point where the curvature
changes direction.
p = 400 m
-200 m
25. Determine the force acting on A
26. Determine the force acting on C
B
p = 80 m

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 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A bead of mass m slides without friction along a curved wire with shape z = f(r) where r = Vr2 + y², i.e. the distance from the z-axis. The wire is rotated around the z-axis at a constant angular velocity w. Gravity acts downward along the z-axis with a constant acceleration g. a) Using Newton's second law in an inertial frame, derive an expression for radius ro of a fixed circular orbit (i.e. a solution with r = ro = const.). What is the normal force the wire applies to the bead to keep it in a circular orbit? b) Show that the equation of motion for r(t) (general equation not the circular motion) is F(1 + f'(r)²) + i² f'(r)f"(r) + gf'(r) – w?r = 0. Using this verify your answer to part (a). c) Consider small displacements from the circular orbit, r = ro+e(t). Derive a condition on the function f(r) such that a circular orbit at r = ro is stable. d) Find the force on the bead in the o direction, i.e. perpendicular to the plane of wire. The angular velocity is w = . Obtain the answer…
A model airplane of mass 0.75 kg flies in a horizontal circle at the end of a 60 m control wire, with a speed of 35 m/s. Determine the tension in the wire if it makes a constant angle of 20 degrees with the horizontal. The forces exerted on the airplane are the pull of the control wire, its own weight, and aerodynamic lift, which acts at 20 degrees inward from the vertical as shown in the diagram
A car of mass 5170 kg is travelling over a hill with a radius of curvature of 13.4 m, at a speed of 5.5 m/s. What is the magnitude of the normal force acting on the car when the car is at the very top of the hill, in Newtons?
Please Asap
The lift force on an airplane of mass 897 kg with speed v is given by c v2 (N), where c is some constant depending on the air density and wing geometry. The lift force points perpendicular to the wings of the plane, so that if the plane banks by, say 10 degrees, then the lift force turns 10 degrees from the vertical. Now suppose that the pilot of this plane wishes to complete a flat turn of radius 931 m with speed 104 m/s. How much should they bank the plane, in degrees? (Please answer to the fourth decimal place - i.e 14.3225)
Please Asap
A man riding a bicycle with a 100 kg total mass is performing horizontal circles on flat track. If the coefficient of static friction between the tires and track is 0.600, find the smallest radius the man can make when travelling at a speed of 10.0 m/s.
(Figure 1) A bob of mass m is suspended from a fixed point with a massless string of length L (i.e., it is a pendulum). You are to investigate the motion in which the string moves in a cone with half-angle . Figure A What tangential speed, v, must the bob have so that it moves in a horizontal circle with the string always making an angle from the vertical? Express your answer in terms of some or all of the variables m, L, and 0, as well as the free-fall acceleration g. ► View Available Hint(s) IVE ΑΣΦ V = Submit Part B How long does it take the bob to make one full revolution (one complete trip around the circle)? Express your answer in terms of some or all of the variables m, L, and 0, as well as the free-fall acceleration g. ► View Available Hint(s) [35] ΑΣΦ Submit Provide Feedback ? ? Ac Go
An accelerometer C is mounted to the side of the roller-coaster car and records a total acceleration of 3.3g as the empty car passes the bottommost position of the track as shown. If the speed of the car at this position is 195 km/h and is decreasing at the rate of 22 km/h every second, determine the radius of curvature p of the track at the position shown. Answer: p-i I ! m 0.73 m
A 43-kg child riding a Ferris wheel (radius = 13 m) travels in a vertical circle. The wheel completes one revolution every 17 s. What is the magnitude of the force on the child by the seat (i.e. normal force) at the highest point on the circular path?
A circular-motion addict of mass 81.0 kg rides a Ferris wheel around in a vertical circle of radius 12.0 m at a constant speed of 7.10 m/s. (a) What is the period of the motion? What is the magnitude of the normal force on the addict from the seat when both go through (b) the highest point of the circular path and (c) the lowest point? Unit of Part A is s, Part B and C is N.
A circular-motion addict of mass 81.0 kg rides a Ferris wheel around in a vertical circle of radius 14.0 m at a constant speed of 7.10 m/s. (a) What is the period of the motion? What is the magnitude of the normal force on the addict from the seat when both go through (b) the highest point of the circular path and (c) the lowest point?