Concept explainers
Three small identical spheres A, B, and C, which can slide on a horizontal, frictionless surface, are attached to three 9-on.-long strings, which are tied to a ring G. Initially the spheres rotate clockwise about the ring with a relative velocity of 2.6 ft/s and the ring moves along the x axis with a velocity
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Vector Mechanics for Engineers: Dynamics
- A block with some mass m is connected to a string that is attached to the ceiling. The block on the end of the string is going around a circular path with a constant radius r and constant speed. Applying Newton's second law to the x component of force seperately in order to find the expressions for the tension of the string in terms of mass m, angle θ, and constant g. The x direction includes centripetal acceleration.arrow_forwardAn inverted circular cone with a semi-vertex angle a = 30° rotates with angular velocity w about its vertical axis of symmetry. A particle of mass m is placed on the inside surface of the cone at a distance r = 0.5 m from the vertex and moves with the cone. The coefficient of friction is μ = 0.2. The acceleration of gravity g is taken as 9.8 m/s². What are the maximum and minimum steady values of such that the particle does not slide either up or down the cone? x=30° μ=0,2 111arrow_forwardPart A A horizontal uniform circular disk has a mass 2m. The disk is free to rotate about the z axis and initially at rest. A man having mass m begins to run along the edge in a circular path whose radius is approximated to be R. If he maintains a speed of vo relative to the disk, what is the angular velocity of the disk? Neglect friction. ○ VOR O 3 /(2R) ○ 2 vo/(3R) ○ vo/(3R) 0 Rarrow_forward
- ASAParrow_forwardAn aircraft, of mass 2000 kg, is following a circular path in the vertical plane as shown inFigure 2. When the flight path of the aircraft is at an angle of 30 from the horizontal, theaircraft’s velocity is 150 m/sec, the radius of curvature of its trajectory is 1000 metres,and the net thrust (engine thrust minus drag) isT = 30kN and acts along the flight path.Assume that the lift force L is perpendicular to the flight path.Draw a free-body diagram showing all forces acting on the aircraft. Calculate the resultantacceleration and its angle from the flight path. Also calculate the lift force L.arrow_forwardQ2/ The slotted arm revolves about a normal axis through point O with a constant angular velocity w.The path radius of the center of the pin A varies according to r = 20+ 2sin(nwt)where n is the number of lobes = 6 in this case. pin A If w=12 rad/s, and the spring compression varies from 11.5 N to 19.1 N, calculate the force R between the cam and the 0.1 kg pin A when it passes over the top of the lobe in the position shownarrow_forward
- The "flying car" is a ride at an amusement park which consists of a car having wheels that roll along a track mounted inside a rotating drum. By design the car cannot fall off the track, however motion of the car is developed by applying the car's brake, thereby gripping the car to the track and allowing it to move with a constant speed of the track, vt = 3 m/s. The rider applies the brake when going from B to A and then releases it at the top of the drum, A, so that the car coasts freely down along the track to B (0 = π rad). Neglect friction during the motion from A to B. The rider and car have a total mass of 390 kg and the center of mass of the car and rider moves along a circular path having a radius of R = 9.8 m. (Figure 1) Figure R Barrow_forward4. Below is shown an 8.05 |b particle sliding along the frictionless wire. At the position shown, determine (a) The normal force, N, from the wire onto the particle (b) The tangential acceleration of the particle. y = - v =3 fps (x,y) = (4,-1) ftarrow_forwardThe 16-ft-long cord is attached to the pin at C and passes over the two pulleys at A and D. The pulley at A is attached to the smooth collar that travels along the vertical rod. When sp = 6 ft, the end of the cord at B is pulled downward with a velocity of 3.7 ft/s and is given an acceleration of 3 ft/s². (Figure 1) Figure SA -3 ft -3 ft B D SB ▶ Determine the velocity of the collar at this instant. Express your answer to three significant figures and include the appropriate units. Enter positive value if the velocity is upward and negative value if the velocity is downward. VA = Submit Part B a A = O μA Submit Value Request Answer Determine the acceleration of the collar at this instant. Express your answer to three significant figures and include the appropriate units. Enter positive value if the acceleration is upward and negative value if the acceleration is downward. μA Value Ć Request Answer Units ? Units ?arrow_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