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- Repeat Prob. 4.152 assuming that the 400-kN force is applied at O instead of L.An Olympic lifter (m = 103kg) is holding a lift with a mass of 350 kg. The bar exerts a purely vertical force that is equally distributed between both hands. Each arm has a mass of 9 kg, are 0.8m long and form a 40° angle with the horizontal. The CoM for each arm is 0.5 m from hand. Assuming the lifter is facing us in the diagram below, his right deltoid inserts 14cm from the shoulder at an angle of 13° counter-clockwise from the humerus. Find the force right deltoidTo get up on the roof, a person (mass 85.0 kg) places a 6.20 m aluminum ladder (mass 15.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The top of the ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the base, as measured along the ladder. The person is standing on the ladder 3.00 m from the base, as measured along the ladder. Find the normal reaction and friction forces (in N) on the ladder at its base. (Enter the magnitudes.)
- In the figure shown, the large piston on the left has a diameter of D1 = 9.00 cm.The small piston on the right has a diameter of D2 = 4.00 cm.A lever arm pivot is located a = 5.00 cm to the left of the small piston.A small cylinder hangs from the end of the lever arm a distance b = 25.0 cm to the right of the small piston.In the absence of friction, determine the weight of the cylinder on top of the large left piston which can be supported in equilibrium with the small mass (m = 0.350 kg)hanging from the far right lever arm.Provide a force vector diagram (free body diagram).A block of mass M1 resting on an inclined plane is connected by a string and pulleys to another block of mass M2 as shown in Fig. Find the tension in the string and acceleration of the blocks. Assume the coefficient of friction between the blocks M1 and the plane to be 0.2. M1=1500N , M2=1000N . Angle of inclined glane = 45 degreesThe tensions of a flat belt are;tight side 500N and slack side 180N.the angular speed N and diameter D of the pulley are 280rev/min and 20cm respectively.if the coefficient of friction between the belt and the pulley 0.6 and the mass m of the belt is 1.2kg/m, including centrifugal tension, Determine; (a) initial tension of the belt (b) angle of lap in degrees (C) power transmitted in the kilowatt (D) maximum power attainable in kilowatt
- In order to burgle a local McDonald's, the Hamburglar must climb onto the roof. To do this, a ladder of length 3.31 m and mass 21.2 kg is placed leaning against a vertical wall, as shown in the image below. There is negligible friction between the ladder and the wall, but the same is not true for the ladder and the ground: us ≠ 0 between those two surfaces. Even with that friction, the ladder will start slipping if the angle ø ladder makes relative to the ground is less than 71.0°. Assuming the ladder is uniform (so that its center of gravity is located at its geometric center), what must be the maximum static frictional force (in N) that exists between the bottom of the ladder and the ground? Explain how you solved the problem involving a ladder leaning against a wall. Be sure to state what your known and unknown quantities are, what concepts were applied, and what equations were used!A 8 kg box resting on a horizontal, frictionless surface is attached to a 2 kg weight by a thin, light wire that passes over a frictionless pulley. The pulley has the shape of a uniform solid disk of mass 2 kg and diameter 0.6 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) acceleration of the box, (c) horizontal and vertical components of the force that the axle exerts on the pulley.A block P of weight 50 N is kept on a plane and now pulled so that the extension in the spring is 10 cm. The stiffness of the spring is 4 N/cm and the coefficient of friction between the block and the plane is μ = 0.3. Find the maximum compression in the spring.
- The small piston of a hydraulic lift has a cross-sectional area of 3.00cm^2,and its large piston has a cross-sectional area of 200cm^2.What downward force of magnitude F1 must be applied to the small piston for the lift to raise a load whose weight is Fg= 15.0kN?A large transport aircraft shown below whose gross weight is 100,000 lb. The airplane pitching mass moment of inertia Iy=40,000,000 lb-s2 in. The airplane is making a level landing with the nose wheel slightly off the ground. The reaction on the rear wheels is 319,000 lbf inclined at such an angle to give a drag component of 100,000 lb and a vertical component of 300,000 lb. Determine: a) The intertial forces on the airplane. b)The resultant load on the pilot whose weight is 180 lbm and whose location is as given in the figure.An engineer is designinga conveyor system for loading haybales into a wagon (Fig.).Each bale is 0.25 m wide, 0.50 mhigh, and 0.80 m long (the dimensionperpendicular to the plane ofthe figure), with mass 30.0 kg. Thecenter of gravity of each bale is atits geometrical center. The coefficientof static friction between abale and the conveyor belt is 0.60, and the belt moves with constantspeed. (a) The angle b of the conveyor is slowly increased. At somecritical angle a bale will tip (if it doesn’t slip first), and at some differentcritical angle it will slip (if it doesn’t tip first). Find the twocritical angles and determine which happens at the smaller angle. (b)Would the outcome of part (a) be different if the coefficient of frictionwere 0.40?