Problem 8: The aerodynamic resistance to motion of a car is nearly proportional to the square of its velocity. Additional friction resistance is constant, so that the acceleration of the car when coasting can be written as a = -C₁-C₂v², where C₁ and C₂ are constants. If the car's initial velocity is vo when it starts coasting, derive an expression for the distance D for the car to stop. = (In (1 + €²))/(26₂) Ans: s=

Problem 8: The aerodynamic resistance to motion of a car is nearly proportional to the square of its velocity. Additional friction resistance is constant, so that the acceleration of the car when coasting can be written as a = -C₁-C₂v², where C₁ and C₂ are constants. If the car's initial velocity is vo when it starts coasting, derive an expression for the distance D for the car to stop. = (In (1 + €²))/(26₂) Ans: s=

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...

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3. The equation v-v =2as gives the final velocity (v.) of a body which started with an initial velocity (v.) and received an acceleration (a) for a distance (s). Show that all three terms have the same dimensions and that the equation is dimensionally correct. Lv where h, is head loss, 2Dg 4. Determine if the equation is dimensionally homogeneous h,- f is a dimensionless resistance coefficient, L is length, D is diameter, v is velocity, and g is acceleration due to gravity.
TOPIC: Equation of Motion (NORMAL AND TANGENTIAL) Fn= Man Ft= Mat Given a 1400 kg car that travels along a road with increasing vertical profile y = 0.0003x². If the constant velocity of the car is 30 m/s. of the distance is at 210m, Determine the x-component of the velocity (m/s) of the car. Compute the total force (KN). PLEASE ANSWER WITH A COMPLETE AND DETAILED SOLUTIONS. THANK YOU
2/39 On its takeoff roll, the airplane starts from rest and accelerates according to a = ao - ku², where ao is the con- stant acceleration resulting from the engine thrust and -ku² is the acceleration due to aerodynamic drag. If ao = 2 m/s², k = 0.00004 m-¹, and vis in meters per sec- ond, determine the design length of runway required for the airplane to reach the takeoff speed of 250 km/h if the drag term is (a) excluded and (b) included. lend loodw Vo = 0 di nidristab v = 250 km/h redw berm 1917 oda ajoaqui PROBLEM 2/39qa to Income erit
Equation of Motion(NORMAL AND TANGENTIAL) Fn= Man Ft= Mat Given a 1400 kg car that travels along a road with increasing vertical profile y = 0.0003x². If the constant velocity of the car is 30 m/s. of the distance is at 210m, a. Determine the x-component of the velocity (m/s) of the car. b. Compute the total force (KN). a. Determine the x-component of the velocity (m/s) of the car. b. Compute the total force (KN). Hint: The slope of a line is equivalent to tanø where Ø is an angle measured from the x-axis.
QUESTION 2 A canon fires a projectile at an angle of 23 degrees with the horizontal with an initial velocity magnitude of 22.2 m/s. The projectile ultimately hits the ground in the East of the launch point. Find the magnitude of the accelaration vector 2.35 seconds after the projectile was fired. Assume the effect of air resistance is negligible. Enter the accelaration in unit of m/s.
OR Fig. 3 A robotic arm shown in Fig. 3 is programmed so that the 0.4-kg part A traces the radial path defined by r = 1–- 0.5 cos (2nt) meter and tranverse path of 0 = 0.5 – 0.2 sin (2nt) rad respectively. a) Calculate the velocity magnitude of part A at 1= 3 seconds. b) Determine the radial and transverse components of the force exerted on A by the robot jaws at 1= 2 seconds. Show the necessary Free-Body and Kinetic diagram to support your analysis.
Q1. A driver enters a curved car at 72 km/h, slows down, causing the speed to drop at a steady rate of 4.5 km/h every second. If the radius of curvature is 16.7 m. Find the acceleration of the car after 4 seconds from the driver starting to slow down.
Modern roller coasters have vertical loops like the one shown in the figure. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. Part (a) What is the speed of the roller coaster, in meters per second, at the top of the loop if the radius of curvature there is 15 m and the downward acceleration of the car is 1.3g? Note that g here is the acceleration due to gravity. Part (b) The beginning of this roller coaster is at the top of a high hill. If it started from rest at the top of this hill, how high, in meters, above the top of the loop is this initial starting point? You may assume there is no friction anywhere on the track. Part (c) If it actually starts 3.5 m higher than your answer to the previous part (yet still reaches the top of the loop with the same velocity), how much energy, in joules, did it lose…
The pressure altimeter is an aneroid barometer that measures the pressure of the atmosphere at the level where the altimeter is located. Consider a jet airliner moving at 447 mph in a direction 60 degrees cast of north, has a speed relative to the ground of 503 mph due east. Recall from physics I that a plane has both an absolute speod relative to the ground, and a speed relative to the air. The values are different in the presence of wind. Draw a cartesian vector diagram of the jet, both with respect to the Earth and ait. a) Caleulate thex and y components of the geostrophic wind the plane is flying in. Use 3 sig figs for all. b) If the pilot simply flies along the pressure surface, calculate the rate of change in altitude of the plane using the characteristic Coriolis parameter defined in clas Vg x: type your answer. Vg y: type your answer. Rate of change of altitude (in m/km): type your answer
1) Most of us rode bikes a kid. Did you ever accidentally apply the front brake while riding down a hill and flip over your handlebars? Let's analyze the level of deceleration needed to cause this to happen (at this instant the normal force of the rear tire is zero). Assume the rider is moving down a hill at a constant velocity and att = 0, the rider squeezes the brakes and begins to decelerate. This action results in a force that points in the bi direction and passes through the contact points between the tires and the pavement. Be sure to include your FBD, IRD, and transformation array. b2 30 in. FB 13 in. 23 in.
b)With the radius of curvature (r) at the top of the loop (T) is 1 m. Determine the minimum speed (in m/s) of the box required at point T such that it can stay on the loop.
Qs: Two blocks are connected by a string. Block 1 is on a frictionless surface, while block 2 hangs freely. The string passes over a massless frictionless pulley. Find the acceleration of block 1, if the acceleration of block 2 is equal to 3.8m/s², and the tension in the string. 2.2 Kg 1.4 Kg