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The space capsule has no angular velocity when the jet at A is activated for 1 s in a direction parallel to the x axis. Knowing that the capsule has a mass of 1000 kg, that its radii of gyration are
Fig. P18.156
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- A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)arrow_forwardTwo disks each have a mass of 5 kg and a radius of 300 mm. They spin as shown at the rate of w1 = 1200 rpm about a rod AB of negligible mass that rotates about the horizontal z axis at the rate of w2. Determine the maximum allowed value of w2 if the magnitudes of the dynamic reactions at points C and D are not to exceed 350 N each.arrow_forwardA drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity g=9.81 m/s2 . (2) ) If the mass moment of inertia of the drum about point O is IO, and the angular acceleration of the drum is α, select the correct moment equation of the whole drum-block system about the point O._____________ A. mbgr=rmb(rα) B. 0 C. mbgr=Ioα +rmb(rα) D. mbgr=Ioαarrow_forward
- A 5.32-kg disk A of radius 0.445 m initially rotating counter-clockwise at 436 rev/min is engaged with a 6.72-kg disk B of radius 0.275 m initially rotating clockwise at 528 rev/min, where the moment of inertia of a disk is given as I = ½ mi?. Determine their combined angular speed (in rpm) and direction of rotation after the meshing of the two disks. Remember to show clearly the equations that you use!!'arrow_forwardModel the arm ABC as a single rigid body. Its mass is 320 kg, and the moment of inertia about its center of mass is | = 390 kg-m². Starting from rest with its center of mass 1.4 m above the ground (position 1), the ABC is pushed upward by the hydraulic cylinders. When it is in the position shown (position 2), the arm has a counterclockwise angular velocity of 1.0 rad/s. How much work do the hydraulic cylinders do on the arm in moving it from position 1 to position 2? Th -1.80 m -1.40 m- B 0.30 m 0.80 m 0.70 m 2.25 m Carrow_forwardA 7.5-kg disk A radius 0.6 m initially rotating clockwise at 300 rev/min is engaged with an 8.5-kg disk B radius 0.4 m initially rotating counter-clockwise at 700 rev/min, where the moment of inertia of a disk is given as I=1/2mr^2. Determine their combined angular speed (in rpm) and direction of rotation after the meshing of the two disk.arrow_forward
- A 7.5 kg disk A radius of 0.6 m initially rotating clockwise at 300 rev/min is engaged with an 8.5 kg disk B of radius 0.4 m initially rotating counter clockwise at 700 rev/min, where the moment of inertia of a disk is given as I=1/2mr^2. Determine their combined angular speed (in rpm) and direction after the meshing of the two disks.arrow_forwardA 5-kg homogeneous disk with a radius of 0.2 m is connected to a spring (k=50 N/m) as shown. At the instant shown (position 1), the spring is undeformed. The disk is released from rest and rolls without slipping to position 2, which is 0.1 m down the 25-degree incline. A clockwise constant 2 N-m couple is applied to the disk as it rolls down the inclined surface. Note: I disk = mR²2 2 N-m 0.2 5-kg 25° k = 50 N/m 10000000 1. Which of the following forces does negative work on the system? Friction between the disk and the inclined surface + x Mark 0.00 out of 20.00 2. Which of the following best approximates the magnitude of the work done by the spring? 0.250 J + ✓ 3. Which of the following best approximates the work done by the 2 N-m couple? -1.000 J + ✓ 4. Which of the following gives the correct expression of the kinetic energy of the system at position 2 in terms of the disk's angular velocity, w₂? 0.15 w2*2 + 4.53 rad/s + x 5. Which of the following best approximates the magnitude…arrow_forwardFour masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12 kg, 10 kg, 18 kg and 15 kg respectively and their radii of rotations are 40 mm, 50 mm, 60 mm and 30 mm. The angular position of the masses B, C and D are 60°, 135° and 270° from the mass A. Find the magnitude and position of the balancing mass at a radius of 100 mm.arrow_forward
- A rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass centres are 30 mm, 38 mm, 40 mm and 35 mm respectively from the axis of rotation. The masses A, C and D are 8 kg, 6 kg and 5 kg respectively. The axial distances between the planes of rotation of A and B is 400 mm and between B and C is 500 mm. The masses A and C are at right angles to each other and mass A is positioned at 0o. Determane the angles between the masses B and D from mass A for acomplete balance.arrow_forwardA rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass centres are 30 mm, 38 mm, 40 mm and 35 mm respectively from the axis of rotation. The masses A, C and D are 8 kg, 6 kg and 5 kg respectively. The axial distances between the planes of rotation of A and B is 400 mm and between B and C is 500 mm. The masses A and C are at right angles to each other and mass A is positioned at 0o.2.1. Show the position of the masses in shaft. 2.2. Determane the angles between the masses B and D from mass A for a complete balance.arrow_forwardA rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass centres are 30 mm, 38 mm, 40 mm and 35 mm respectively from the axis of rotation. The masses A, C and D are 8 kg, 6 kg and 5 kg respectively. The axial distances between the planes of rotation of A and B is 400 mm and between B and C is 500 mm. The masses A and C are at right angles to each other and mass A is positioned at 0o. 1. Determine the angles between the masses B and D from mass A for a complete balance. 2. If the mass are balance calculate the axial distance between the planes of rotation of C and D. 3. Calculate the magnitude of mass Barrow_forward
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