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Q6: The 7-kg collar A slides with negligible friction on the fixed vertical shaft. When the collar is released from rest at the bottom position shown, it moves up the shaft under the action of the constant force F = 200 N applied to the cable. Calculate the stiffness k which the spring must have if its maximum compression is to be limited to 75 mm. The position of the small pulley at B is fixed.

Q6: The 7-kg collar A slides with negligible friction on the fixed vertical shaft. When the collar is released from rest at the bottom position shown, it moves up the shaft under the action of the constant force F = 200 N applied to the cable. Calculate the stiffness k which the spring must have if its maximum compression is to be limited to 75 mm. The position of the small pulley at B is fixed.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Q6: The 7-kg collar A slides with negligible friction Q8: The 1.5-kg ball is given an initial velocity va = 2.5m/s in the vertical plane at position A, where the two horizontal attached springs are unstretched. The ball follows the dashed path shown and crosses point B, which is 125 mm. directly below A. Calculate the velocity vg of the ball at B. Each spring has a stiffness of 1800 N/m. on the fixed vertical shaft. When the collar is released from rest at the bottom position shown, it moves up the shaft under the action of the constant force F = 200N applied to the cable. Calculate the stiffness k which the spring must have if its maximum compression is to be limited to 75 mm. The position of the small pulley at B is fixed. [ Ans.: k = 8.79 kN/m] [ Ans.: vg = 8.54 ft/s] 225 mm 300mm 300mm 125mm 450 mm 75 mm Q7: Determine the constant force P required to cause the 0.5-kg slider to have a speed v, = 0.8 m/s at position 2. The slider starts from rest at position 1 and the spring has unstretched length of 200 mm and the modulus k 250 N/m. Neglect friction. Q9: The 0.75-kg particle is attached to the light slender rod OA which pivots freely about a horizontal axis through point O. The system is released from rest while in the position 0 = 0° where the spring is unstretched. If the particle is observed to stop momentarily in the position 0 = 50° , determine: 1. The spring constant k. 2. For your computed value of k, what is the particle speed v at the position 0 = 25° ? Ans.: P = 52.2 N 200 [Ans.: (1) k = 86. 8 N/m, (2) v = 1.371 m/s] 200 mm 250 mm mm 250 mm B 0.6 m 15 0.6 m 0.75 kg
Transcribed Image Text:Q6: The 7-kg collar A slides with negligible friction Q8: The 1.5-kg ball is given an initial velocity va = 2.5m/s in the vertical plane at position A, where the two horizontal attached springs are unstretched. The ball follows the dashed path shown and crosses point B, which is 125 mm. directly below A. Calculate the velocity vg of the ball at B. Each spring has a stiffness of 1800 N/m. on the fixed vertical shaft. When the collar is released from rest at the bottom position shown, it moves up the shaft under the action of the constant force F = 200N applied to the cable. Calculate the stiffness k which the spring must have if its maximum compression is to be limited to 75 mm. The position of the small pulley at B is fixed. [ Ans.: k = 8.79 kN/m] [ Ans.: vg = 8.54 ft/s] 225 mm 300mm 300mm 125mm 450 mm 75 mm Q7: Determine the constant force P required to cause the 0.5-kg slider to have a speed v, = 0.8 m/s at position 2. The slider starts from rest at position 1 and the spring has unstretched length of 200 mm and the modulus k 250 N/m. Neglect friction. Q9: The 0.75-kg particle is attached to the light slender rod OA which pivots freely about a horizontal axis through point O. The system is released from rest while in the position 0 = 0° where the spring is unstretched. If the particle is observed to stop momentarily in the position 0 = 50° , determine: 1. The spring constant k. 2. For your computed value of k, what is the particle speed v at the position 0 = 25° ? Ans.: P = 52.2 N 200 [Ans.: (1) k = 86. 8 N/m, (2) v = 1.371 m/s] 200 mm 250 mm mm 250 mm B 0.6 m 15 0.6 m 0.75 kg
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