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Engineering Mechanics: Dynamics (14th Edition)
- At the instant shown, the uniform slender rod with mass m = 32 kg is pin-supported at point O. It has dimensions a = 0.24 m and b = 0.70 m. Determine its mass moment of inertia lo (in kg•m2) about the axis that passes point O and is perpendicular to the screen. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. a b M Your Answer: Answerarrow_forwardThe rigid body (slab) has a mass m and rotates with an angular velocity es about an axis passing through the fixed point 0. Show that the momenta of all the particles composing the body can be represented by a single vector having a magnitude mvg and acting through point P, called the center of percussion, which lies at a distance TPIG - ka/rajo from the mass center G. Here kg is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G.arrow_forward2. If the mass of body A and B are equal but k = 2ks, then a. IA = 2IB b. C. IA = d. IA = IA = ¹2IB 4IB ¹14IBarrow_forward
- 3. The pendulum consists of a 5 kg plate and a 3 kg slender rod. Determine the radius of gyration of the pendulum about an axis perpendicular to the plane of movement and passing through point G (the mass center for the pendulum). 2 m + 0.5 m Garrow_forwardA light fixture of negligible mass, has three applied forces acting on it as shown. |F,| = 4 kN 1.2 m 1.2 m 1.2 m 2.8 m |F,| = 6 kN y 45° |F| = 5 kN Using the coordinate system shown, determine in kilonewtons the z component of the reaction force at o - Roz Answer:arrow_forwardThe 285-kg wheel has a radius of gyration about its center O of ko = 300 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 74 N•m, it starts rolling from rest. Determine the mass moment of inertia //c (in kg. m²) about the wheel's /C. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². M Your Answer: Answerarrow_forward
- A shaft carries four masses A,B,C and D of magnitude 220 kg, 320 kg, 420 kg and 220 kg respectively and revolving at radii 9cm, 7cm, 6 cm and 8cm in planes measured from A at 30cm, 45cm and 60cm. The angles between the cranks measured from A anticlockwise are 45°, 90° and 130°. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 20cm, between X and Y is 50cm. If the balancing masses revolve at a radius of 15cm, find their magnitudes and angular positions.arrow_forwardA stepped cylinder has the dimensions R₁ = 0.30 m, R₂ = 0.65 m, and the radius of gyration, k, is 0.35 m. The mass of the stepped cylinder is 100 kg. Weights A and B are connected to the cylinder. If weight B has a mass of 80 kg, and weight A has a mass of 50 kg, how far does A move in 5 seconds? In which direction does it move? (Draw all FBDs)arrow_forwardThe 154-kg wheel has a radius of gyration about its center O of ko = 280 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 73 N•m, it starts rolling from rest. Determine the mass moment of inertia lc (in kg. m²) about the wheel's /C. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². M Your Answer: Answer ...arrow_forward
- Q12. The two tugboats each exert a constant force F= 20 N on the ship as shown in Figure Q12 These forces are always directed perpendicular to the ship's centerline. If the ship has a mass m and a radius of gyration about its center of mass G of kG, determine the work done of the ship after it turns 80°. The ship is originally at rest. Where d = 6 m., -F Figure Q12arrow_forward578 N O 1274 N ements of the lower arm arc shown in the figure. The wcight of the forearm is 5 Ib with mass center at G if the T= 0 N. Determinc the combincd moment about the clbow pivot (o) of the weights of the fore arm and the sphere, from the following answers which of them is correct: 5 lb 8 lb 13 O M= 128.6 lb.inarrow_forward2. The boom has a length of 15ft, a weight of 500lb, and center of mass at G. If the maximum moment that can be developed by a motor at A is M = 15x10^3 lb-ft, determine maximum load W, having center of mass G', that can be lifted. 500lb 8ft M 7ft 30 1ftarrow_forward
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