A 25-kg package, initially at rest, is being pushed to the right by applying a force P on corner A in the direction shown in the figure. At the instant shown, corner C is already 0.250 m to the right of edge E of the platform. Assume that the coefficients of non-sliding (static) and sliding (kinetic) friction between the package and the platform are μ = 0.40 and μ = 0.25, respectively. 0.900 m D 0.600 m ► 0.250 m
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Given the following, answer the 2 subproblems
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- 1. The three blocks in the figure are initially moving together to the right. Blocks B and C have mass m and block A has mass 4m. DO NOT NEGLECT FRICTION IN THIS PROBLEM. (a) Draw and label a free body diagram for each block. (b) Identify all Newton's 3rd Law pairs that appear in your diagrams. A (c) Is the normal force on C by A greater than, less than, or equal to the frictional force on C by the ground? Explain your reasoning. CA 25-kg package, initially at rest, is being pushed to the right by applying a force P on corner A in the direction shown in the figure. At the instant shown, corner C is already 0.250 m to the right of edge E of the platform. Assume that the coefficients of non-sliding (static) and sliding (kinetic) friction between the package and the platform are ?? = 0.40 and ?? = 0.25, respectively. P = 50.0 N. Further, assume first the block is at rest and is not impending to move. Which best approximates the frictional force between the package and the horizontal platform with the assumption that the block is at rest and is not impending to move? Which of the following best approximates the distance to the left of corner C where the line of action of the normal force crosses base CD of the package? Which of the following is TRUE about the package?The 114-kg crate of the figure below is being moved by a rope that passes over a smooth pulley. The coefficient of friction between the crate and the floor is 0.4. If h = 4 m, determine the force P necessary to produce impending motion in N. 2 m 5 m h
- A 4.6-kg block is pushed 2.3 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle of ? = 30° with the horizontal, as shown in the figure below. If the coefficient of kinetic friction between block and wall is 0.30, determine the following. A figure, drawn from a side view, shows the right side of a rectangular block pushed up against a rough, vertical wall. A force vector F acts on the block and is represented by a diagonal rrow pointing up and to the right, toward the center of the block's left side. The arrow forms an angle ? with the horizontal. (a) the work done by F J(b) the work done by the force of gravity J(c) the work done by the normal force between block and wall J(d) By how much does the gravitational potential energy increase during the block's motion? JBlock 2 of mass 1.30 kg is stacked on top of another Block 1 of mass 8.60 kg on an incline plane of angle 38° with respect to the horizontal. The two blocks are linked by a rope which passes over a pulley at the top of the incline, as shown in the diagram. The coefficient of kinetic friction between all surfaces is 0.45. (g = 9.8m/s2,cos 38° = 0.788, sin 38° = 0.616) a) Draw the free body diagrams of each block, b) Write Newton's second law components for each block, c) What is the acceleration of each block? d) If the coefficient of static friction between all surfaces is 0.3 find the angle 0 the plane must be inclined for sliding to commence. NOTE: Solutions involving the energy will not be accepted. 38.0A man is pushing a refrigerator initially at rest up a 20 degree incline. He pushes with a force of 90 N parallel to the incline. The weight of the refrigerator is 80 N. The coefficient of non-sliding and sliding friction is 0.4 and 0.3 respectively. Point A is designated to be the lower right corner of the refrigerator. For what value of P will the refrigerator start to slide upwards? For what value of P will the refrigerator start to tip forward? What is the state of motion of the refrigerator?
- The horizontal position of the 500lb block (B) is adjusted by the 7° wedge (A) under the action of the force "P". The contact surfaces between the block and the wedge are vertical, (neglect the weight of the wedge) If: P=100 lbs / HA = 0.2 / HB = 0.1 Determine the coefficient of friction (Hc) between the 500lb block (B) and the horizontal surface if the entire system is in impending motion. UB 7. B PA21° W A 190 kN horizontal force P is applied to a 220 kN box resting on an 21° incline. The line of action of P passes through the center of gravity of the box. The box is 6.5 m wide x 4.5 m tall, and the coefficents of friction between the box and the surface are μ = 0.65 and μ = 0.49. Determine the magnitude of the friction force acting on the box. F= The box is O In Equilibrium O Sliding up the incline O Sliding down the incline. O TippingThe 50-kg block as shown in figure is initially at rest on a horizontal plane. After that P was gradually increased from 0 to 150 N. What is the maximum static friction force? H₂ = 0.5 H₁ = 0.2 p
- A 130-lb crate is being transported by a 175-lb hand- truck cart along the frictionless floor. The coefficients of friction between the cart and the box are μ = 0.20 and Mk = 0.15. If a force P = 45 lb is applied as shown, P determine the smallest ratio d/b for which the box will tip before it slides. Neglect the mass of the wheels of the cart. Show the complete and clear solutions including the necessary diagrams (i.e., FBD and the KD diagrams).Block A has a weight of 60 lb and block B has a weight of 10 lb. Neglect friction and the mass of the cord and pulleys. The figure shows a system of pulleys and blocks. Block A is located on an inclined surface with a slope of three-fourths. Block B is vertically suspended by a cord that goes over a pulley located at the top end of the inclined surface. The cord then goes downward and to the left, parallel to the slope, then it goes over a pulley fixed to the upper right end of block A. Then the cord goes upward and to the right parallel to the slope. The end of the cord is fixed to the anchor. Determine the speed of block A after it moves 5.7 ft down the plane, starting from rest.This climber (mass=52kg) is maintaining this posture while grabbing onto a rock at P3 and reaching for the wall with her right hand (no contact of wall and right hand). The rock at P1 applies a force of 187.4 N at an angle of 140.2 deg from the positive x axis on her right foot at P1. The rock at P2 and the climber's pants have a coefficient of static friction of 0.78 and the y component of the force of the rock on her pants is 144.0 N upward. The rocks at P1 and P2 are vertical surfaces. The friction forces acting at P1 and P2 are as large as friction will allow. Analyze the forces in the frontal plane as shown and show mechanical rationale for each question. a) What is the net interaction of the her left hand on the rock at P3? b) Which surface (P1 or P2) has a lower coefficient of static friction? If she took off her shoes and tried to hold this position with her socks (coefficient of static friction of her socks and rock is 0.78), will she be able to maintain static equilibrium? C)…