The
Fig. 17.40 and P17.41
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- 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 0 = 30° with the spring unstretched, determine the velocity of wheel A just as the door reaches the vertical position. A k `1.5 m C 1.5 m B.arrow_forwardA 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_forwardA slender homogeneous rod AB of mass m and length L is made to rotate at a constant rate w2 about the horizontal z axis, while frame CD is made to rotate at the constant rate w1 about the y axis. Express as a function of the angle 0 (a)the couple M1 required to maintain the rotation of the frame, (b) the couple M2 required to maintain the rotation of the rod, (C) the dynamic reactions at the supports C and D.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 3.5-kg slender rod AB and a 2-kg slender rod BC are connected by a pin at B and by the cord AC. The assembly can rotate in a vertical plane under the combined effect of gravity and a couple M applied to rod BC. In the position shown, the angular velocity of the assembly is zero and the tension in cord AC is equal to 26.8 N. 300 mm A 400 mm 400 mm M B Determine the angular acceleration of the assembly. (You must provide an answer before moving to the next part.) rad/s²0. The angular acceleration of the assembly isarrow_forwardThe 10-in.-radius brake drum is attached to a larger flywheel which is not shown. The total mass moment of inertia of the flywheel and drum is 22 lb ⋅ ft ⋅ s 2 and the coefficient of kinetic friction between the drum and the brake shoe is 0.41. Knowing that the initial angular velocity is 255 rpm clockwise, determine the force which must be exerted by the hydraulic cylinder at point B if the system is to stop in 85 revolutions. DO NOT ROUND OFF IN THE SOLUTION. ROUND OFF ONLY THE FINAL ANSWERarrow_forward
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