### Educational Context: Physics Problem on Bicycle Dynamics#### Problem Statement:The bicycle and rider shown in Figure 1 have a mass of 80 kg with the center of mass located at \( G \). The coefficient of kinetic friction at the rear tire is \( \mu_B = 0.8 \).#### Tasks:1. **Determine the normal reaction at tire \( A \)** when the rear wheel locks for braking. - **Express your answer to three significant figures and include the appropriate units**. - Input Box: \[ N_A = \text{Value} \quad \text{Units} \] - [Submit] [Request Answer]2. **Part B: Determine the normal reaction at tire \( B \)** when the rear wheel locks for braking. - **Express your answer to three significant figures and include the appropriate units**. - Input Box: \[ N_B = \text{Value} \quad \text{Units} \] - [Submit]#### Diagram Description:The diagram shows a bicycle with a rider. The following measurements and positions are given:- The center of mass \( G \) is positioned above the bike frame.- The horizontal distance from the front wheel (point \( A \)) to the rear wheel (point \( B \)) is 1.2 meters.- The center of mass \( G \) is 0.6 meters above ground level.- The horizontal distance from the center of mass to the front wheel is 0.55 meters.This information is relevant for analyzing the forces acting on the bicycle, particularly when considering friction and normal forces during braking.

To find: The normal reaction at the tire A and B at the time rear wheel braking. Given: The total mass of bicycle and rider, m = 80 kg. The height of center of mass, h = 1.2 m. The coefficient of kinematic friction, μB = 0.8 Formula used: The moment of force about a particular point a) To fine the normal reaction at tire A due to the rear wheel breaking: The moment about point B: MB = 80×9.81×0.4 - NA×0.95 = 0NA = 330.44 N. b) To fine the normal reaction at tire B due to the rear wheel breaking: The moment about point A: MG = 330.44×0.55 + 0.8×NB×0.4 + NB×1.2 = 0NB = 119.56 N. Thus the values of reaction forces are as follows: NA = 330.44 N.NB = 119.56 N.

Engineering

Mechanical Engineering

The bicycle and rider shown in (Figure 1) have a mass of 80 kg with center of mass located at G. The coefficient of kinetic friction at the rear tire is μg 0.8. Figure G 0.55 m 0.4 m- < 1 of 1 1.2 m Determine the normal reaction at the tire A, when the rear wheel locks for braking. Express your answer to three significant figures and include the appropriate units NA = Submit Part B NB = Ii Submit μÃ Value Request Answer Determine the normal reaction at the tire B, when the rear wheel locks for braking. Express your answer to three significant figures and include the appropriate units O T μÁ Value Units Request Answer ? Units ?

The bicycle and rider shown in (Figure 1) have a mass of 80 kg with center of mass located at G. The coefficient of kinetic friction at the rear tire is μg 0.8. Figure G 0.55 m 0.4 m- < 1 of 1 1.2 m Determine the normal reaction at the tire A, when the rear wheel locks for braking. Express your answer to three significant figures and include the appropriate units NA = Submit Part B NB = Ii Submit μÃ Value Request Answer Determine the normal reaction at the tire B, when the rear wheel locks for braking. Express your answer to three significant figures and include the appropriate units O T μÁ Value Units Request Answer ? Units ?

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

1. If there is no friction between shaft AB and the collar, what angular velocity θ˙˙ must the mechanism have to keep the collar at r=300 mm from the vertical axis? Express your answer to three significant figures. 2. Consider the same mechanism again, with m=2.95 kg, d=225 mm, k=250 N/m, only now, instead of being smooth, the collar and shaft have a maximum coefficient of friction of μs=0.297. What is the minimum angular velocity required to keep the collar at a constant distance r=300 mm from the axis of rotation? Express your answer to three significant figures.
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 when mass m2 moves a distance 4.94 m up the ramp, how far downward does mass m1 move? d= ?
The uniform concrete block in (Figure 1) has a weight of 300 lb. The coefficients of static friction are μA = 0.2, μB = 0.3, and between the concrete block and the floor, μ = 0.4. A) Determine the smallest couple moment that can be applied to the 180-lb wheel that will cause impending motion. Express your answer to three significant figures and include the appropriate units.
The coefficient of friction between the cylinder and the brake is 0.3. If the force P applied the brake is 20 N and the length d = 1.0 m, and a brake BC is to be arranged so that the speed of the cylinder may be reduced from 60 rpm to zero in 4 sec. Figure A is a solid cylinder weighing 600 N with a diameter of 0.60m. Find the total length L of BC. In m, 1 metric ton = 1,000kg = 9806.65 N Thirt ܕܗܘ] B d = 1. Om A a L-1 m mm
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.
Don't Use Chat GPT Will Upvote And Give Solution In 30 Minutes Please
The 60-kg crate shown in (Figure 1) starts from rest and attains a speed of 6 m/s when it has traveled a distance of 15 m. The coefficient of kinetic friction between the crate and the ground is μ = 0.3. Figure 1 of 1 (> ▲ Part A Determine the force P acting on the crate. Express your answer to three significant figures and include the appropriate units. P= DH μA 6 Submit Value Provide Feedback Request Answer Units ?
The 15.5-kg uniform bar is supported by a roller at A. A horizontal force of F = 80 N is applied to the roller. Neglect the weight and the size of the roller. (Figure 1) Figure y L. F = 80 N 2 m 1 of 1 Part A Determine the magnitude of the acceleration of the roller center at the instant the force is applied. Express your answer to three significant figures and include the appropriate units. aд = Submit Part B 0 = O μA Value Submit Request Answer Determine the direction of the acceleration of the roller center at the instant the force is applied, measured counterclockwise from the positive x axis. Express your answer using three significant figures. Units IVE ΑΣΦ 11 | vec Request Answer ? ? O
Consider (Figure 1). The cord is attached to the 36-lb block, and the coefficients of static friction are HB = 0.2 and μp = 0.3. Figure M 1.5 ft B 3 ft -1.5 ft- D C < 1 of 1 Part A Determine the smallest couple moment which can be applied to the 24-lb wheel that will cause impending motion. Express your answer in pound-feet to three significant figures. VAΣo↓↑ vec M = Submit Provide Feedback Request Answer A ? lb-ft
Please help me to solve the two questions. Thanks
e g g a force of P =200 N which is applicd to the handle of the lever, if the coefficient of friction (= 0.3) and the pressure between band and flywheel is 0.15 MPa. Determine: 1. The torque (T) required for stopping the flywheel. 2. The width of the band. 3. The dimension AB for sclf-actuation. Page20f2
The pipe has a mass of 50 kg and is bong towed behind a truck Egun1) Figure Beview If the angle - 30 determine the acceleration of the truck. The coefficient of kinetic friction between the pipe and the grounds -0.10 Express your answer to three significant figures and include the appropriate units. Value Submit Part Best An Aise delene the tension in the cable Express your answer to three significant figures and include the appropriate units. Submi PA T. 2447.27 Units A CE unds ?