38 The 25-kg slider in the position shown has an initial velocity vo 0.6 m/s on the inclined rail and slides under the influence of gravity and friction. The co- efficient of kinetic friction between the slider and the rail is 0.5. Calculate the velocity of the slider as it passes the position for which the spring is com- pressed a distance x = 100 mm. The spring offers a compressive resistance C and is known as a "hard- ening" spring, since its stiffness increases with de- flection as shown in the accompanying graph.

38 The 25-kg slider in the position shown has an initial velocity vo 0.6 m/s on the inclined rail and slides under the influence of gravity and friction. The co- efficient of kinetic friction between the slider and the rail is 0.5. Calculate the velocity of the slider as it passes the position for which the spring is com- pressed a distance x = 100 mm. The spring offers a compressive resistance C and is known as a "hard- ening" spring, since its stiffness increases with de- flection as shown in the accompanying graph.

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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3/138 The 25-kg slider in the position shown has an initial velocity vo= 0.6 m/s on the inclined rail and slides under the influence of gravity and friction. The co- efficient of kinetic friction between the slider and the rail is 0.5. Calculate the velocity of the slider as it passes the position for which the spring is com- pressed a distance x = 100 mm. The spring offers a compressive resistance C and is known as a "hard- ening" spring, since its stiffness increases with de- flection as shown in the accompanying graph. 1 m = 0.6 m/s 60° 25 kg = 0.5 Hk= C, KN Problem 3/138 x, m 62x2 ✓ 18x
5 Problem A box of mass m = 50kg is at rest when suddenly a force P is applied. Determine the acceleration if (a) P = 0, (b) P = 150 N, and (c) P = 300 N. The incline has a slope 0 = 15 deg and static coefficient of friction of μs = 0.2 and kinetic coefficient of friction of μk=0.15. Hint: To solve this problem we must first determine if the box is moving or not (to decide if we should use the static or kinetic friction coefficient). You can use the following approach. First assume the friction force has a magnitude Ff and solve for the Ff (as a function of P, g, and 0) under the assumption that the box not moving (i.e., the forces sum to zero along the direction of the ramp). If the Ff you find is less than the maximum static friction force, Ff ≤ μsN, then the box is indeed stationary. If |Fƒ| > 1,N then the static friction force required is too large and the box moves. In this case Ff μKN and the forces are nonzero. Note that friction can act in both directons (up or down the ramp)…
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consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless what is the acceleration of mass m2 on the inclined plane? take positive acceleration to be up the ramp a2 = ?
The blocks A and B in the figure weigh 60kg and 10kg respectively, they start from rest on a surface where the coefficient of friction is A and the surface is uk = 0.2; Determine the modulus of tension in the rope at block B and the modulus of acceleration of block A after it has moved 3m down the incline plane. consider the mass of the pulleys and ropes negligible