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A system consists of three identical 19.32-lb particles 1, B, and C. The velocities of the particles are, respectively,
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Vector Mechanics For Engineers
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- A system consists of three identical 14.32-lb particles A, B, and C. The velocities of the particles are, respectively, vA = vA j, vB = vBi, and vC = vCk. The angular momentum of the system about O expressed in ft·lb·s is HO = -1.2k. Determine the velocities of the particles. (You must provide an answer before moving to the next part.) The velocity of particle A is ( ft/s)j. The velocity of particle B is ( ft/s)i. The velocity of particle C is ( ft/s)k.arrow_forwardTo understand how the conservation of energy and Newton's second law can be combined to solve kinetic problems. As shown, a large globe has a radius R and a frictionless surface. A small block with mass m starts sliding from rest at the top of the globe and slides along the globe’s surface. The block leaves the globe’s surface when it reaches a height hl above the ground. The system’s geometry is shown for an arbitrary height h. (Figure 1) Note that the subscripts used in this problem is the letter l and not the number 1. Consider what happens when the block leaves the globe’s surface. Which of the following statement or statements are correct? The net acceleration of the block is directed straight down. The component of the force of gravity toward the globe’s center is equal to the normal force’s magnitude. The force of gravity is the only force acting on the block.Consider what happens when the block leaves the globe’s surface. Which of the following statement or statements are…arrow_forward5. A 2-kg sphere is attached to a massless rigid rod attached to a fixed pivot point O. The rigid rod and mass rotate in the horizontal plane. A moment is applied to the rod of magnitude M = 0.5t² N. m, where t is in seconds. The length of the rod is 0.5 m. Determine the speed of the sphere after the moment is applied for 5 seconds. M(t)arrow_forward
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- An athlete pulls handle A to the left with a constant force of P= 100 N. Knowing that after the handle A has been pulled 30 cm and its velocity is 3 m/s, determine the mass of the weight stack B.arrow_forwardA 900 kg car travelling at 12 m/s due east collides with a 600 kg car travelling at 24 m/s due north. As a result of the collision, the two cars lock together and move in what final direction?arrow_forwardThree different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of each object is a multiple of the base mass m: object1 has mass 4.00m, object 2 has mass 1.96m, and object 3 has mass m. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an 2 algebraic expression. Each algebraic expression is given using some combination of the variables m, g, and d, where g is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23mgd, just enter 1.23)arrow_forward
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