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Fig. P17.40 and P17.41
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- The mechanism shown is one of two identical mechanisms attached to the two sides of a 200-lb uniform rectangular door. Edge ABC of the door is guided by wheels of negligible mass that roll in horizontal and vertical tracks. A spring of constant k= 40 lb/ft is attached to wheel B. Knowing that the door is released from rest in the position O the velocity of wheel A just as the door reaches the vertical position. = 30° with the spring unstretched, determine 5 ft 5 ftarrow_forwardThe mechanism shown is one of two identical mechanisms attached to the two sides of a 180-lb uniform rectangular door. Edge ABC of the door is guided by wheels of negligible mass that roll in horizontal and vertical tracks. A spring of constant k is attached to wheel Bin such a way that its tension is zero when 0 = 30°. Knowing that the door is released from rest in the position 0 = 45° and reaches the vertical position with an angular velocity of 0.6 rad/s, determine the spring constant k. 5 ft 5 ft The spring constant is Ib/ft.arrow_forwardA slender 9-lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k = 21 lb/ft and of unstretched length 6 in. is attached to the rod as shown in the figure. Knowing that the rod is released from rest in the position shown in the figure, determine its angular velocity after it has rotated through 90 degree .arrow_forward
- A 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_forwardRequired information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 4-kg slender rod is welded to the edge of a 3-kg uniform disk as shown. The assembly rotates about A in a vertical plane under the combined effect of gravity and of the vertical force P. Know that at the instant shown, the assembly has an angular velocity of 12 rad/s and an angular acceleration of 36.5 rad/s2, both counterclockwise. 120 mm Determine the force P. B The force P is D 240 mm с 240 mm (You must provide an answer before moving on to the next part.) |N.↓arrow_forwardTwo disks of the same material are attached to a shaft as shown. Disk A has a radius r and a thickness 2b, while disk B has a radius nr and a thickness 2b. A couple M with a constant magnitude is applied when the system is at rest and is removed after the system has executed two revolutions. Determine the value of n that results in the largest final speed for a point on the rim of disk B.arrow_forward
- A slender 9-lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k = 30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. Knowing that the rod is released from rest in the position shown, determine its angular velocity after it has rotated through 90°.arrow_forwardThe 30-kg uniform disk A and the bar BC are at rest and the 5-kg uniform disk D has an initial angular velocity of w1 with a magnitude of 440 rpm when the compressed spring is released and disk D contacts disk contacts disk A. The system rotates freely about the vertical spindle BE. After a period of slippage, disk D rolls without slipping. Knowing that the magnitude of the final angular velocity of disk D is 176 rpm, determine the final angular velocities of bar BC and disk A. Neglect the mass of bar BC.arrow_forwardProblem 2: The mechanism shown is one of two identical mechanisms attached to the two sides of a 90-kg. uniform rectangular door. Edge ABC of the door is guided by wheels of negligible mass that roll in horizontal and vertical tracks. A spring of constant k 600 N/m is attached to wheel B. Knowing that the door is released from rest in the position 6 30° with the spring unstretched, determine the velocity of wheel A just as the door reaches the vertical position,arrow_forward
- A torque T of 100 N-m is applied to a wheel D having a mass of 50 kg. a diame- ter of 600 mm, and a radius of gyration of 280 mm. The wheel D is attached by a light member AB to a slider C having a mass of 30 kg. If the system is at rest at the instant shown, what is the acceleration of slider C? What is the axial force in member AB? Neglect friction everywhere, and neglect the inertia of the memberAB. (Draw FBDs)arrow_forwardA bar of mass m = 5 kg is held as shown between four disks each of mass m’ = 2 kg and radius r = 75 mm. Knowing that the forces exerted on the disks are sufficient to prevent slipping and that the bar is released from rest, for each of the cases shown, determine the velocity of the bar after it has moved through the distance h.arrow_forwardThe essential structure of a certain type of aircraft turn indicator is shown. Each spring has a constant of 500 N/m, and the 200-g uniform disk of 40-mm radius spins at the rate of 10 000 rpm. The springs are stretched and exert equal vertical forces on yoke AB when the airplane is traveling in a straight path. Determine the angle through which the yoke will rotate when the pilot executes a horizontal turn of 750-m radius to the right at a speed of 800 km/h. Indicate whether point A will move up or down.arrow_forward
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