1- A 60 lb box is held on a smooth incline by a rope passing over the surface of contact with the coefficients of static friction of 0.25. Find (a) the tension on the rope and (b) the magnitude and location of the normal force exerted on the box by the plane. 40° 15 in. 60 lb 12 in. 30°
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- Draw the FBD of the entire frame, assuming that friction and the weights of the members are negligible. How many unknowns appear on this FBD?The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.
- The uniform ladder of weight W is raised slowly by applying a vertical force P to the rope at A. Show that P is independent of the angle .The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.Two blocks are connected by a (massless) string that passes over a (massless, frictionless) pulley as shown. Assume the interface between block A and the horizontal tabletop to be frictionless. pulley If mA = 6.3 kg and mg = 8.8 kg, what is the tension in the string? Express your answer in N, to at least one digit after the decimal point.
- Two weights (one is 100lbs. the other is 50 lbs.) are suspended over a circular post as shown. Determine the minmum co-efficient of static friction such that the weights remain motionless if B=180.1. Two blocks are connected by a rope attached to each block with frictionless pulley as shown. If the coefficient of friction under each block is 0.25 and B weighs 25 kN, find the minimum mass of A to prevent motion. Assume B = 55° and 0 = 35o %3D B AIn a Porter governor, the mass of the central load is 18 kg and the mass of each ball is 2 kg. The top arms are 250 mm while the bottom arms are each 300 mm long. The friction of the sleeve is 14 N. If the top arms make 45° with the axis of rotation in the equilibrium position, find the range of speed of the governor in that position. 503.2
- Q2: - The ladder and the person weigh 30 lb and 180 lb, respectively. The center of mass of the 12-ft ladder is at its midpoint. The angle Assume that the wall is smooth on the ladder. (a) If what is the magnitude of the friction force exerted on the ladder by the floor as shown in fig 2? (b) What minimum coefficient of static friction between the ladder and the floor is necessary for the person to be able to climb to the top of the ladder without slipping? 160 mm 20 ft/s 140 mm 200 40 mm mm 10 | 40 mm 120 mm Fig 1 Fig 2 Fig 3Q1) Yousif pushes toward the right on an 11.0 N force on the box in the opposite direction. The magnitude of the kinetic friction force between the box and the very smooth floor is 4.50 N as the box slides toward the right. Also, the magnitude of the normal force is 98 N. For the above information, find the following? a box with a force of magnitude 31.0 N. Sarah applies 6. The free-body diagram 7. The mass of the box 8. The box's acceleration in the x-direction 9. The box's acceleration in the y-direction 10. coefficient of dynamic friction Q 2) A rope pulls the block up the ramp, as shown in the figure. Find the following: 7. Draw a free body diagram for the block. 8. Write the equation that sums the forces on the block that are parallel to the ramp. 9. Write the equation that sums the forces on the block that are perpendicular to the ramp. 10. What is the acceleration of the block perpendicular to the ramp? 11. What is the friction force? a = 4.3 m/s? T = N A = 0.45 6.0 kg 0= 30°…2. The 100 – Ib force acts as shown on a 300 - Ib block placed on an inclined plane. The coefficients of friction between the block and the plane are us = 0.25 and Hk = 0.20. Determine whether the block is in equilibrium, and find the value of the friction for the friction force. 300 Ib 100 lb