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Vector Mechanics for Engineers: Statics and Dynamics
- Three cables (DA, DB, and DC) are attached to point D from which a mass, m, is suspended. Knowing that the tension in cable AD is 120 N, find the mass, m in kg. The coordinates of points A, B, C and D are in meters as follows: A(-1.2, 0.8, 1) B(0, 3, -0.5) C(2.5, 0, 0) D(1.5, -1, 0)arrow_forward2. Show that the gravitational self-energy (energy of assembly piecewise from infinity) 3GM? of a uniform sphere of mass M and radius R is U = - 5Rarrow_forward! Required information Channel AB is fixed in space, and its centerline lies in the xy plane. The plane containing edges AC and AD of the channel is parallel to the xz plane. The surfaces of the channel are frictionless and the sphere E has 1.6 kg mass. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. N J N D 30° + E 30° X F A 30° 20° B Determine the force supported by cord EF, and the reactions RC and Rp between the sphere and sides C and D, respectively, of the channel. (Round the final answers to four decimal places.) The force supported by cord EF is N. The reactions Rcand Rp between the sphere and sides C and D, respectively, of the channel are as follows: RC= RD= Zarrow_forward
- 5. 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_forwardA tugboat tows a ship at a constant velocity. The tow harness consists of a single tow cable attached to the tugboat at point A that splits at point B and attaches to the ship at points C and D. The two rope segments BC and BD angle away from the center of the ship at angles of o = 27.0 ° and 0 = 23.0 °, respectively. The tugboat pulls with a force of D В F 4800 lb . What are the tensions TBc and TBD in the rope segments BC and BD? Express your answers numerically in pounds to three significant figures separated by a comma. • View Available Hint(s) vec ТВс, ТВD lbarrow_forwardPart B A tugboat tows a ship at a constant velocity. The tow harness consists of a single tow cable attached to the tugboat at point A that splits at point B and attaches to the ship at points C and D. The two rope segments BC and BD angle away from the center of the ship at angles of o = 27.0 ° and 0 = 23.0 °, respectively. The tugboat pulls with a force of D В 4800 lb . What are the tensions TBc and TBD in the rope segments BC and BD? Express your answers numerically in pounds to three significant figures separated by a comma. • View Available Hint(s) nV ΑΣφ ? vec TBC,TBD lbarrow_forward
- Pin B weighs 0.1kg and is free to slide in a horizontal plane along therotating arm OC and along the circular slot DE of radius b=500mm.Neglecting friction and assuming that θ= 15 rad/s andθ=250 rad/s2 for the position θ= 20o , determine for that position(a) the radial and transverse components of the resultant forceexerted on pin B, (b) the forces P and Q exerted on pin B,respectively, by rod OC and the wall of slot DE.arrow_forwardPROBLEM 2.17 The position of an object as a function of time is given as x = 2.1t3 + t2 -4t + 3 where x is in meters and t is in seconds. 19. What is the velocity of the object at t = 10.0 s? c. 946 m d. 616 m а. 936 m b. 646 m 20. At what time is the object at rest? 0.654 s c. 0.454 s d. 0.754 s а. b. 0.554 s 21. What is the acceleration of the object at t = 0.50 s? с. 7.3 m/s2 d. 9.3 m/s² 6.3 m/s² 8.3 m/s2 а. b.arrow_forwardDetermine the tension in the cable when the 400 kg box is moving upward with a 2 m/s2 acceleration. A. 4724 N B. 5524 N C. 3124 N D. 6543 Narrow_forward
- Determine the magnitude of the moment about A ( lb in) that produces the 125 lb force necessary to raise the window and whose line of action is the same as that of the shock absorber CB 20.5 in. 4.38 in. A B C 7.62 in. 17.2 in.arrow_forwardPlease provide correct answers for these problems, steps not required.arrow_forward4. 4000-lb car A traveling north at 30 mph through an intersection is t-boned by 3500-lb car B traveling east. The two cars became stuck together and skidded in a direction 35 degrees north of east. Determine velocity of car B upon impact.arrow_forward
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