Concept explainers
A 6-kg shell moving with a velocity
Trending nowThis is a popular solution!
Chapter 14 Solutions
Vector Mechanics for Engineers: Dynamics
- A 13-kg projectile is passing through the origin O with a velocity v0 = (35 m/s)i when it explodes into two fragments A and B , of mass 5 kg and 8 kg, respectively. Knowing that 3 s later the position of fragment A is (90 m, 7 m, -14 m), determine the position of fragment B at the same instant. Assume ay =-g= -9.81 m/s2 and neglect air resistance.arrow_forward3. Neglecting air resistance, determine the value of the firing angle a in degree. At a horizontal distance of 12,000 ft, a projectile is fired with an initial velocity of 14.63 km/min at a target B located 6,096 decimeter above the gun A.arrow_forwardA 0.5-oz model rocket is launched vertically from rest at time t = 0 with a constant thrust of 0.9 Ib for 0.3 s and no thrust for t > 0.3 s. Neglecting air resistance and the decrease in mass of the rocket, determine (a) the maximum height h reached by the rocket, (b) the time required to reach this maximum height. %D harrow_forward
- Q2. As shown in the image below, the freight cars A and Bare approaching each other, and they have a mass of ma 24 Mg and mB = 13 Mg, respectively. The directions of their initial velocities are shown in the image, and the speeds are vA,1 = 2.9 m/s and vB,1 = 2.7 m/s. Determine the velocity of A after collision if the cars collide and rebound, such that Bmoves to the right with a speed of 2.1 m/s. Right is considered the positive direction and negative sign must be included if A moves to the left after the collision. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. VA,1 A VB,1 В Your Answer: Answer unitsarrow_forwardA 900-lb space vehicle traveling with a velocity v0 = (1500 ft/s)k passes through the origin O. Explosive charges then separate the vehicle into three parts A, B, and C , with masses of 150 lb, 300 lb, and 450 lb, respectively. Knowing that shortly thereafter the positions of the three parts are, respectively, A (250, 250, 2250), B (600, 1300, 3200), and C (-475, -950, 1900), where the coordinates are expressed in feet, that the velocity of B is vB = (500 ft/s)i+ (1100 ft/s)j+ (2100 ft/s)k, and that the x component of the velocity of C is -400 ft/s, determine the velocity of part A.arrow_forwardQ2. As shown in the image below, the freight cars A and B are approaching each other, and they have a mass of mA = 23 Mg and mg = 14 Mg, respectively. The directions of their initial velocities are shown in the image, and the speeds are VA,1 4.3 m/s and v³,1 = 2.9 m/s. Determine the velocity of A after collision if the cars collide and rebound, such that B moves to the right with a speed of 1.8 m/s. Right is considered the positive direction and negative sign must be included if A moves to the left after the collision. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. A Your Answer: VA,1 Answer units B VB.1 =arrow_forward
- A 480-kg space vehicle traveling with a velocity vo = (405 m/s)i passes through the origin O at t= 0. Explosive charges then separate the vehicle into three parts, A, B, and C, with mass, respectively, 240 kg, 100 kg, and 140 kg. Knowing that at t = 4 s, the positions of parts A and B are observed to be A (1170 m, -290 m, -585 m) and B (1975 m, 365 m, 800 m), determine the corresponding position of part C. Neglect the effect of gravity. The position of part Cis rc= m)i + ( m)j + m)k.arrow_forwardThe 3.9-lb rod AB is hanging in the vertical position. A 2.2-lb block, sliding on a smooth horizontal surface with a velocity of 12 ft/s, strikes the rod at its end B. (Figure 1) 3.98 12 ft/s PA ft S A Determine the velocity of the block immediately after the collision. The coefficient of restitution between the block and the rod at B is e = 0.84. Express your answer to three significant figures and include the appropriate units. ? B C 3 ft form Cyc HEALT wayarrow_forwardA 0.0102-kg bullet is fired straight up at a falling wooden block that has a mass of 3.47 kg. The bullet has a speed of 748 m/s when it strikes the block. The block originally was dropped from rest from the top of a building and had been falling for a time t when the collision with the bullet occurs. As a result of the collision, the block (with the bullet in it) reverses direction, rises, and comes to a momentary halt at the top of the building. Find the time t. Number i Unitsarrow_forward
- 2- Two identical cars A and B are at rest on a loading dock with brakes released. Car C, of a slightly different style but of the same weight, has been pushed by dockworkers and hits car B with a velocity of 1.5 m/s. Knowing that the coefficient of restitution is 0.8 between B and C and 0.5 between A and B, determine the velocity of each car after all collisions have taken place. 1.5 m/sarrow_forwardRock falls can cause major damage to roads and infrastructure. To design mitigation bridges and barriers, engineers use the coefficient of restitution to model the behavior of the rocks. Rock A falls a distance of 20 m before striking an incline with a slope of α = 40o. Knowing that the coefficient of restitution between rock A and the incline is 0.2, determine the velocity of the rock right after the impact, both magnitude and angle with respect to the horizontal.arrow_forwardRockfalls can cause major damage to roads and infrastructure. To design mitigation bridges and barriers, engineers use the coefficient of restitution to model the behavior of the rocks. Rock A falls a distance of 20 m before striking an incline with a slope of a = 40°. Knowing that the coefficient of restitution between rock A and the incline is 0.2, determine the velocity of the rock after the impact.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