Q13. As shown in the image below, the 54 kg-crate is initially at rest, and at a distance d = 6.0 m from the top of the spring. Then it slides down the inclined plane. If the coefficient of kinetic friction between the crate and the inclined plane is uk = 0.22, determine the compression of the spring, x, when the crate momentarily stops (as the spring reaches maximum compression). The spring has spring constant k = 1.3 kN/m and initially the spring is unstretched. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Take g = 9.81 m/s². d k 45° Your Answer: Answer units

Q13. As shown in the image below, the 54 kg-crate is initially at rest, and at a distance d = 6.0 m from the top of the spring. Then it slides down the inclined plane. If the coefficient of kinetic friction between the crate and the inclined plane is uk = 0.22, determine the compression of the spring, x, when the crate momentarily stops (as the spring reaches maximum compression). The spring has spring constant k = 1.3 kN/m and initially the spring is unstretched. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Take g = 9.81 m/s². d k 45° Your Answer: Answer units

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.71P: The 600-lb cable spool is placed on a frictionless spindle that has been driven into the ground. If...

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The 600-lb cable spool is placed on a frictionless spindle that has been driven into the ground. If the force required to start the spool rotating is F = 160 lb, determine the coefficient of friction between the ground and the spool. Neglect the diameter of the spindle compared to the diameter of the spool.
The force P is applied to the 53-kg block when it is at rest. Determine the magnitude and direction of the friction force exerted by the surface on the block if (a) P = 0, (b) P=185 N, and (c) P=292 N. (d) What value of P is required to initiate motion up the incline? The static and kinetic coefficients of friction between the block and the incline are ₁-0.24 and U-0.19, respectively. The friction force is positive if up the incline, negative if down the incline. Answers: (a) F- (c) F= 53 kg 14° (d) P= (b) F- i i i 23 P=0.24 P₁=0.19 N N N N
The force P is applied to the 42-kg block when it is at rest. Determine the magnitude and direction of the friction force exerted by the surface on the block if (a) P=0, (b) P-147 N, and (c) P-193 N. (d) What value of P is required to initiate motion up the incline? The static and kinetic coefficients of friction between the block and the incline are ₁-0.20 and = 0.16, respectively. The friction force is positive if up the incline, negative if down the incline. Answers: (a) F= (b) F= (c) F= 42 kg 12° i i (d) P= i 18 P=0.20 P₁ = 0.16 N N N N
Q6: The coefficient of static and kinetice frietion between the 100 kg block and the inclined plane are 0.3 and 0.2 respectively. Determine the friction force F acting on the block when P is applied with magnitude of 200 N to the block at rest 100 kg 20 H.0.30 H=0.20 15
The 5-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=180 N applied to the cable. Determine the stiffness k which the spring must have if its maximum compression is to be limited to s= 70 mm. The position of the small pulley at B is fixed. Take , h = 450 mm and b = 230 mm . (Use the Work-Energy Equation).
Q2/ The 5-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=180 N applied to the cable. Determine the stiffness k which the spring must have if its maximum compression is to be limited to 8 = 70 mm. The position of the small pulley at B is fixed. Take ,h = 450 mm and b = 230 mm . (Use the Work-Energy Equation). ***Good Luck ***
The block weighs 80 pounds. A cable is connected to itsupper left corner and passes over a fixed post. Thecoefficients of friction are μB = 0.3 for the block and theground and μP = 0.2 for the post and the cable. Determinethe minimum force T that will cause the system to move(either tip or slide - you must show which happens first).Take a = 2.5’ and b = 6’.
The crate, which has a mass of 140 kg, is subjected to the action of the three forces shown in the figure. If it is originally at rest, determine the friction force when Py =750 N, P, =900 N, P;=500Nand 6 = 259 Assume the coefficient of kinetic friction between the crate and the surface is pi = 0.40.
The force P is applied to the 38-kg block when it is at rest. Determine the magnitude and direction of the friction force exerted by the surface on the block if (a) P = 0, (b) P = 143 N, and (c) P = 208 N. (d) What value of P is required to initiate motion up the incline? The static and kinetic coefficients of friction between the block and the incline are μs = 0.23 and μk = 0.20, respectively. The friction force is positive if up the incline, negative if down the incline.
The force P is applied to the 50-kg block when it is at rest. Determine the magnitude and direction of the friction force exerted by the surface on the block if (a) P = 0, (b) P = 226 N, and (c) P = 353 N. (d) What value of P is required to initiate motion up the incline? The static and kinetic coefficients of friction between the block and the incline are μs = 0.30 and μk = 0.27, respectively. The friction force is positive if up the incline, negative if down the incline.
The force P is applied to the 48-kg block when it is at rest. Determine the magnitude and direction of the friction force exerted by the surface on the block if (a) P = 0, (b) P = 229 N, and (c) P = 354 N. (d) What value of P is required to initiate motion up the incline? The static and kinetic coefficients of friction between the block and the incline are μs = 0.34 and μk = 0.30, respectively. The friction force is positive if up the incline, negative if down the incline.
The force P is applied to the 61-kg block when it is at rest. Determine the magnitude and direction of the friction force exerted by the surface on the block if (a) P = 0, (b) P = 239 N, and (c) P = 387 N. (d) What value of P is required to initiate motion up the incline? The static and kinetic coefficients of friction between the block and the incline are us = 0.27 and μ = 0.24, respectively. The friction force is positive if up the incline, negative if down the incline. Answers: (a) F= 61 kg 16° i (b) F= i (c) F= i (d) P= i 25 H₂ = 0.27 H = 0.24 z z z N