Problems 7.42 and 7.43The driveway gate is hinged at its right end and can swing freely in the horizontal planeThe gate is pushed open by the force P that always acts perpendicular to the plane of thegate at point A. which is a horizontal distance d from the gate hinge. The weight of thegate is W = 215 lb, and its mass center is at G, which is a distance w/2 from each endof the gate, where w = 16 ft. Assume that the gate is initially at rest, and model the gateas a uniform thin bar as shown below the photo.hinge line/2Problem 7.42i Given that a force of Pgate (i.e., d = w/2), determine the reactions at the hinge O after the force P has heencontinuously applied for 2 s.20 lb is applied at the center of mass of theProblem 7.43 Given that a

Given:gate weight, W = 215 lbloap, P = 18.5 lbConsider the free-body diagram given below:…

Problems 7.42 and 7.43 The driveway gate is hinged at its right end and can swing freely The gate is pushed open by the force P that always acts perpendi gate at point A. which is a horizontal distance d from the gate h 215 lb, and its mass center is at G, which is a distas 16 ft. Assume that the gate is initially at hinge line gate is W %3D of the gate, where w = as a uniform thin bar as shown below thn

Problems 7.42 and 7.43 The driveway gate is hinged at its right end and can swing freely The gate is pushed open by the force P that always acts perpendi gate at point A. which is a horizontal distance d from the gate h 215 lb, and its mass center is at G, which is a distas 16 ft. Assume that the gate is initially at hinge line gate is W %3D of the gate, where w = as a uniform thin bar as shown below thn

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 74P: A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A...

See similar textbooks

Similar questions

A 50 N hand and forearm are held at a 35° angle to the vertically oriented humerus. The CG of the forearm and hand is located at a distance of 12.5 cm from the joint center at the elbow, and the elbow flexor muscles attach at an average distance of 2.5 cm from the joint center. (Assume that the muscles attach at an angle of 35° to the forearm bones.) How much force must be exerted by the forearm flexors to maintain this position?
A uniform plank of length 2.00 m and mass 30.0 kg issupported by three ropes, as indicated by the blue vectors inFigure P8.27. Find the tension in each rope when a 700.-Nperson is d = 0.500 m from the left end.
. The forces exerted by the bicep muscle and acting on the elbow when a 12 kg barbell is being curledcan be modeled based on the diagram above. The bicep muscle can be treated as a vertical cable. Themass and length of the forearm are 2 kg and 32 cm, respectively. The center of mass of the forearm is adistance of 14 cm from the point P, while the bicep connects to the forearm at a point 4.5 cm from P.a) Determine the tension in bicep muscle and the force of the humerus acting downward on the elbowat point P. b) Assuming the tension in the bicep muscle continues to be oriented vertically, determinethe tension in the bicep muscle and the force acting at P after the barbell has been raised by an angleof 30 relative to the horizontal.
A 50 N hand and forearm are held at a 35° angle to the vertically oriented humerus. The CG of the forearm and hand is located at a distance of 12.5 cm from the joint center at the elbow, and the elbow flexor muscles attach at an average distance of 2.5 cm from the joint center. (Assume that the muscles attach at an angle of 35° to the forearm bones.) How much force must the forearm flexors exert if a 50 N weight is held in the hand at a distance along the arm of 25 cm?
A bar weighing 26.0 N is supported horizontally on each end by two hangingsprings, each 15.0 cm long, with spring constants 0.970 N/cm and 1.45 N/cm,respectively. The bar is 6.00 m long and has a center of mass 2.00 m from thespring with constant 0.970 N/cm. How far does each spring stretch?
As shown in the figure below, a uniform beam is supported by a cable at one end and the force of friction at the other end. The cable makes an angle of ? = 30°, the length of the beam is L = 4.75 m, the coefficient of static friction between the wall and the beam is μs = 0.520, and the weight of the beam is represented by w. Determine the minimum distance x from point A at which an additional weight 2w (twice the weight of the rod) can be hung without causing the rod to slip at point A.X =. m
he figure shows an outstretched arm (0.61 m in length) that is parallel to the floor. The arm is pulling downward against the ring attached to the pulley system, in order to hold the 98-N weight stationary. To pull the arm downward, the latissimus dorsi muscle applies the force M in the figure, at a point that is 0.069 m from the shoulder joint and oriented at an angle of 29°. The arm has a weight of 42 N and a center of gravity (cg) that is located 0.28 m from the shoulder joint. Find the magnitude of force M. Axis at houlder joint 29° M 0.28 m 0.069 m 0.61 m cg 98 N
A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance ?=0.288 mfrom the rock, which has a mass of 465 kg, and fits one end of the rod under the rock's center of weight. If the homeowner can apply a maximum force of 671 N at the other end of the rod, what is the minimum total length ? of the rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner's force are both essentially vertical. The acceleration due to gravity is ?=9.81 m/s2.
A uniform plank of length 2.00m and mass 30.0kg is supported by three ropes, as indicated by the blue vectors in figure p8.27. Find the tension in each rope when a 700-N person is d=0.500m from the left end.
In the figure, a nonuniform bar is suspended at rest in a horizontal position by two massless cords as shown in the figure here. One cord makes the angle e = 40.4° with the vertical; the other makes the angle o = 49.6° with the vertical. If the length Lof the bar is 3.0 m, compute the distance x from the left end of the bar to its center of mass. L com i
The 77.0 kg painter in the figure below is using a large stepladder. The base of the ladder is 3.0 m wide, and the ladder is 7.0 m high. The painter is on a step that is 2.0 m above the floor. The horizontal bar of the ladder has a mass of 10.0 kg, and the entire ladder has a mass of 64.0 kg. Assume that the floor is frictionless. A В C 7.0 m 5.0 m 2.0 m 3.0 m (a) Find the force of tension in the horizontal bar and the normal forces that the floor exerts on the ladder. T = Number N Njeft = Number N Nright = Number (b) Find the action-reaction forces at the hinges A, B, and C. Enter each answer as the magnitude of the component of the hinge forces. Consider the positive r-direction to be rightwards and the positive y-direction to be upwards.
A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance d = 0.255 m from the rock, which has a mass of 325 kg, and fits one end of the rod under the rock's center of weight. If the homeowner can apply a maximum force of 655 N at the other end of the rod, what is the minimum total length L of the rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner's force are both essentially vertical. The acceleration due to gravity is g = 9.81 m/s². L = m