A small ball swings in a horizontal circle at the end of a cord of length
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Vector Mechanics For Engineers
- Two objects m1 = 5.15 kg and m2 = 2.95 kg)are connected by a light string passing over a light, frictionless pulley as in the figure below. The 5.15-kg object is released from rest at a point h = 4.00 m above the table. (a) Determine the speed of each object when the two pass each other. m/s(b) Determine the speed of each object at the moment the 5.15-kg object hits the table. m/s(c) How much higher does the 2.95-kg object travel after the 5.15-kg object hits the table? marrow_forwardA ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and swings as a pendulum as shown in Fig. (1). The ball is released from rest at point A when the string makes an angle of e with vertical. Determine; 1) The velocity of the ball as it passes through point B. 2) The tension TA in the string at A. 3) The tension Te in the string at B.arrow_forwardThe robotic arm shown in figure below is programmed to move 0.5 kg sphere A in a vertical plane. The path of sphere A can be defined using the functions r = 0.5t − 0.5 cos(2πt) m and θ = 0.5 −0.2 sin(2πt) rad. At t = 2 s, determine a) Radial and transverse components of the force exerted on A by the robot’ jawsarrow_forward
- A particle of mass m is projected from point A with an initial velocity v0 perpendicular to OA and moves under a central force F along an elliptic path defined by the equation r=r0 /(2 - cos 0) Using Eq. (12.35), show that F is inversely proportional to the square of the distance r from the particle to the center of force 0.arrow_forwardThe two spheres shown collide. the weight of the first sphere (W1) is 40 N while that of the second is (W2) is 30N. assuming that the second sphere's velocity (v2) is 14 m/s and the first sphere's velocity (v1) is 16 m/s along the their respective angles. theta 1(θ1)=30 degrees and theta 2(θ2)=60 degrees. Assume velocities along y will be equal before and after impact. The coefficient of restitution is 0.57. A.) Determine the velocity of the 30N sphere after impact (m/s) B.) Determine the Velocity of the 40N sphere after impact (m/s) C.) Determine the angle of the velocity after impact of the 40N sphere with the horizontal (degrees) D.) Determine the angle of the velocity after impact for the 30N sphere with the vertical (degrees)arrow_forward10. The angular momentum of a particle about point A in a reference frame is defined as r dot mv where r is the radius vector from point A to the particle position, m is the particle mass, and v is the particle velocity. True Falsearrow_forward
- A ball is dropped from the top of a tower 80m high at the same instant a second ball is thrown vertically upward from the ground. If the two balls meet each other at the point of 44m above the ground, determine the initial velocity of the second ball.arrow_forwardA 20-kg base satellite deploys three sub-satellites, each which has its own thrust capabilities, to perform research on tether propulsion. The masses of sub-satellites A, B, and C are 4 kg, 6 kg, and 8 kg, respectively, and their velocities expressed in m/s are given by vA = 4i - 2j +2k, vB = i + 4j, vC = 2i + 2j +4k. At the instant shown, what is the angular momentum HO of the system about the base satellite?arrow_forwardA 2-oz pellet shot vertically from a spring-loaded pistol on the surface of the earth rises to a height of 300 ft. The same pellet shot from the same pistol on the surface of the moon rises to a height of 1900 ft. Determine the energy dissipated by aerodynamic drag when the pellet is shot on the surface of the earth. (The acceleration of gravity on the surface of the moon is 0.165 times that on the surface of the earth.)arrow_forward
- Scientists observe an approaching asteroid that is on a collision course with Earth. They devise a plan to launch a rocket that will collide with the asteroid inelastically and stop it. The mass of the asteroid is 7500 kg, and it is approaching Earth at 85 m/s. If the rocket has a mass of 900 kg, approximately what velocity must it have to completely stop the asteroid after collision?arrow_forwardConsidering a glancing collision between a cue ball of mass m moving at initial velocity u and a target ball of the same mass initially at rest. This results in a two-dimensional collision with the cue ball's final velocity v making an angle θ with the target ball's final velocity w. Show explicitly that the collision is elastic if and only if θ = π/2 = 90°.arrow_forwardA ball is dropped from the top of a tower 80 ft high at the same instant that a second ball is thrown upward from the ground with an initial velocity of 40 ft per sec. When and where do they pass?arrow_forward
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