Concept explainers
During a high-speed chase, a 2400-lb sports car traveling at a speed of 100 mi/h just loses contact with the road as it reaches the crest A of a hill. (a) Determine the radius of curvature ρ of the vertical profile of the road at A. (b) Using the value of ρ found in part a, determine the force exerted on a 160-lb driver by the seat of his 3100-lb car as the car, traveling at a constant speed of 50 mi/h, passes through A.
Fig. P12.45
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
Additional Engineering Textbook Solutions
DeGarmo's Materials and Processes in Manufacturing
Fluid Mechanics: Fundamentals and Applications
Fox and McDonald's Introduction to Fluid Mechanics
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
- (2) A 5 lb ball is attached to a 3 ft long rope and it rotates in a vertical circular path at a constant tangent velocity of 30 ft/s. (a) Determine the tension in the rope when the ball is at point A. (b) Determine the tension in the rope when the ball is at point B. B 3 ft Aarrow_forwardA robot arm moves in the vertical plane so that the 0.14-kg cylinder P travels in a circle about point B, which is not moving. Know that arm BP starts from rest in a horizontal position and that the speed of Pincreases at a constant rate of 200 mm/s². 0.8 m Draw the free-body diagram of the cylinder P that is required to determine the force acting on the cylinder. (You must provide an answer before moving on to the next part.) 0.8 m P 1 Iarrow_forwardPin B weighs 0.1kg and is free to slide in a horizontal plane along therotating arm OC and along the circular slot DE of radius b=500mm.Neglecting friction and assuming that θ= 15 rad/s andθ=250 rad/s2 for the position θ= 20o , determine for that position(a) the radial and transverse components of the resultant forceexerted on pin B, (b) the forces P and Q exerted on pin B,respectively, by rod OC and the wall of slot DE.arrow_forward
- A 450-g ball B is moving along a horizontal circular path at a constant speed of 4 m/s. Determine (a) the angle 0 that the cord forms with the vertical line AC, (b) the tension in the cord 2. 1.8 marrow_forward1. The two blocks shown weigh W = 60lb and W, = 40lb . If the blocks are released from rest from the position shown, determine the velocity of block B A В after it has moved 10 ft. Use Constraint Equations (for pulley), Equation of Motion (Newton's second law), and the Principle of Work and Energy. NOT allowed to use Chegg or other such websites. NOT allowed to use Chegg or other such websites B.arrow_forwardAn estimate of the expected load on over-the-shoulder seat belts is to be made before designing prototype belts that will be evaluated in automobile crash tests. Assuming that an automobile traveling at 45 mi/h is brought to a stop in 110 ms, determine (a) the average impulsive force exerted by a 200-lb man on the belt, (b) the maximum force Fm exerted on the belt if the force-time diagram has the shape shown.arrow_forward
- A 3200 lb car traveling with a speed of 60 mph rounds a curve whose radius 484 ft. Find the necessary centripetal forcearrow_forward3. A merry-go-round with radius R rotates in a horizontal plane at constant angular speed o. A boy with mass M at the edge begins to walk in a straight line relative to the merry-go-round from A to B with speed vo relative to the merry-go-round. Determine the magnitude of the force acting on the boy in terms of the quantities given.arrow_forwardA section of track for a roller coaster consists of two circular arcs AB and CD joined by a straight portion BC. The radius of AB is 27 m and the radius of CD is 72 m. The car and its occupants, of total mass 263 kg, reach point A with practically no velocity and then drop freely along the track. Determine the maximum and minimum values of the normal force exerted by the track on the car as the car travels from A to D. Ignore air resistance and rolling resistance. 27 m 18 m r=72m The minimum normal force exerted by the track is The maximum normal force exerted by the track is [ 6955 N. 6955 Narrow_forward
- 2) A ball with a weight of 0.3N is attached to the end of an elastic thin cord of which unstretched length is 59cm. The other end of the cord is fixed at a point on the horizontal frictionless surface of a table. The stiffness of the cord is 20 N/m. At an instant, the ball moves with a velocity of 2.95 m/s which is perpendicular to the radius of curvature of the path of the ball and the length of the cord is 89cm at that instant. For the elastic cord to be stretched all the time during the motion of this ball, what is the minimum value of the velocity of the ball?arrow_forwardIn a railroad classification yard, a 66-Mg freight car moving at 1.1 m /s at A encounters a retarder section of track at B which exerts a retarding force of 27 kN on the car in direction opposite to motion. Over what distance x should the retarder be activated in order to limit the speed of the car to 2.7 m /s at C? 184 m 2.6 m B (Vertical scale exaggerated) C v Part 1 Calculate the kinetic energies at A and C; Answers: TA = | kg m2/s? Tc = |kg m²/s²arrow_forwardQ.1. A block of mass m = 0.5 kg is pushed against a horizontal spring of spring constant k = 450 N/m and negligible mass. The spring is compressed a distance x from equilibrium, and then released from rest. The block travels along a frictionless horizontal surface and reaches point B with a speed vg = 12 m/s. Take g = 10 m/s2. The compression of the spring is: a. x = 0.16 m b. x = 0.467 m c. x = 0.533 m B. d. x = 0.4 marrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY