Concept explainers
A
Fig. P15.194
Want to see the full answer?
Check out a sample textbook solutionChapter 15 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Additional Engineering Textbook Solutions
Mechanics of Materials
Applied Statics and Strength of Materials (6th Edition)
Thermodynamics: An Engineering Approach
Mechanics of Materials, 7th Edition
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
Fluid Mechanics: Fundamentals and Applications
- Hi, I need help with this question please. Block A is connected to a fixed pin O with a string 100 mm long. The block and the channel are at rest when a motor on a shaft through O starts to rotate the channel with angular velocity ω = sin(0.2t) rad/s and the string starts to pull the block towards O with speed v = sin(0.2t) mm/s. 1. At the time instant t = 2.5π s, determine: a) the components of the velocity and acceleration of the ball in polar coordinatesb) the speed of the ballc) the components of the velocity and acceleration of the ball in normal coordinatesd) sketch the polar and normal components of the velocity and acceleration of the ball on the figure.arrow_forwardThe piston of the hydraulic cylinder gives pin A a constant velocity v = 2.4 ft/sec in the direction shown for an interval of its motion. For the instant when 0 = 59°, determine i, ř, 0, and Ö where r = OA. A. 5.3" Answers: ft/sec ft/sec? rad/sec = rad/sec2arrow_forwardPROBLEM 1: ABSOLUTE DEPENDENT MOTION For the pulley system, as shown, the velocity of object A is known. Determine the velocity of B. AA V4= 3 m/s Barrow_forward
- An aircraft carrier is transiting out to sea with acceleration ag = -1 m/s² and speed VG = -5 m/s (i.e., both to the left) when its onboard radar detects a UFO. At the instant shown, the radar is pointed at angle = π/4, has angular velocity = 0.5 rad/s (CCW), and has angular acceleration α = 0.02 rad/s² (CCW). The radar uses a body reference frame that is moving and rotating with the radar: B = {O', 6₁, 62, 63} to report measurements. The radar reports the relative position (x, y) = (100, 150) meters in the radar's body frame along with the body-frame velocities (x, y) = (Vx, Vy) = (-30, 30) m/s a body-frame acceleration (x, y) = (ax, ay) = (0.1,0.3) m/s² of the UFO. 1. Determine the inertial velocity vector of the UFO expressed in terms of unit vectors of the inertial frame I = {0, 11, 12, 13} located at the base. 2. Determine the inertial acceleration vector in terms of the unit vectors of the radar body frame B. aG VG X RADAR UFO Y j = Ω Ö = d i3 BASEarrow_forwardA disk of radius R = 0.5833 ft spins at a constant angular speed of o = 52.36 rad/s in the clockwise direction. If the disk is released from rest far above the ground, what are the speed and acceleration of the disk's top C after it has fallen h = 3 ft? (g= 32.2 ft/s²) Hint: Speed v of an object falling from R the rest can be determined from its falling distance h by, v = /2gharrow_forward5. The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given 12 where e is in radians and t is in 20 by 0 = 0.81 - %3D seconds. The slider is at r 1.6 m when t = 0 and thereafter is drawn inward at the constant rate of 0.2 m/s. Determine the magnitude and direction (expressed by the angle relative to the positive x- axis) of the velocity and acceleration of the slider when t= 4 s. %3D Ans. 0.377 m/s, 259.5°; 0.272 m/s, 19.4° y 1. Sarrow_forward
- 2/230 Under the action of force P, the constant accelera- tion of block B is 3 m/s to the right. At the instant when the velocity of B is 2 m/s to the right, deter- mine the velocity of B relative to A, the accelera- tion of B relative to A, and the absolute velocity of point C of the cable. Ans. UBJA = 0.5 m/s, ag/A = 0.75 m/s2 1 m/s, all to the right %3D A B Problem 2/230arrow_forwardAn automobile P is traveling along a circular track of radius R=958.4 m. At position "A" on the track, the automobile has a speed of UA = 10.3 m/s. At this position, the driver of the automobile applies the brakes causing the speed of the automobile to change with distance s traveled along the track according to the following equation: U(S) = VA COS(0.001s) m/s (cos is in radians), where s is given in meters. Determine the magnitude of the acceleration for the driver when the automobile reaches position "B" on the track where "B" is a quarter of the distance around the track from position "A". R B O circular trackarrow_forwardA girl operates a radio-controlled model car in a vacant parking lot. The girl’s position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the x-y plane. She drives the car in a straight line so that the x coordinate is defined by the relation x(t) = 0.5t3 - 3t2 + 3t2 + 3t + 2, where x and t are expressed in meters and seconds, respectively. Determine (a) when the velocity is zero, (b) the position and total distance travelled when the acceleration is zero.arrow_forward
- A laser pointer, located at O, is aimed at the top of a tunnel, the shape of which is such that rAO=L(1+sinθ). The pointer is swung in a counterclockwise manner such that θ˙=(2.0 rad/s2)t. Assume that the swing began at θ=0 when t=0 s. What are υA and aA when θ=π2, where A is the point on the tunnel where the laser beam hits?arrow_forward3. The spatial motion of a particle is described by X = 3t 2 + 4t y = -4t 2 + 3t Z = -6t +9 where the coordinates are measured in feet and the time t is in seconds. (a) Determine the velocity and acceleration vectors of the particle as functions of time. (b) Verify that the particle is undergoing plane motion (the motion is not in a coordinate plane) by showing that the unit vector perpendicular to the plane formed by v and a is constant.arrow_forwardRacing cars A and B are traveling on circular portions of a race track with the speeds indicated in the figure. At the instant shown, the speed of A is decreasing at the rate of 7 m/s2, and the speed of B is increasing at the rate of 2 m/s2. For the positions shown, determine the values of r, 0, r, ï, and ë with respect to the observer at A, where r and are measured relative to a longitudinal axis fixed to car A as indicated in the figure. 250 m 162 km/h 450 B e 400 m 300 m A 300 144 km/h 700 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