(a) The nail puller shown in the figure above is designed such that you exert a force 35.0 cm from the pivot ane (b) Determine the minimum force must you exert in order to apply a force of 1500 N to the nail.
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- The mechanism of four rods (Rocker Crank) as shown in the picture below is O2A=15cm long, AB = 40 cm, BD = 10 cm, O2O4 = 45 cm, and 04B = 30 cm. Bar 4 receives a force Q of 4000 N. Determine the magnitude and direction of the torque in rod 2.A 15,000 N crane pivots around a friction-free axle at its base and is supported by a cable making a 25∘ angle with the crane (Figure 1). The crane is 16 m long and is not uniform, its center of gravity being 7.0 m from the axle as measured along the crane. The cable is attached 3.0 m from the upper end of the crane. 1. When the crane is raised to 55∘ above the horizontal holding an 11,000 N pallet of bricks by a 2.2 m very light cord, find the tension in the cable. 2. Find the horizontal component of the force that the axle exerts on the crane.Consider a uniform ladder of length 4.3 m and mass 10 kg. The ladder is falling over, pivoting about the end that is touching the ground. Someone is pushing on the top end of the ladder with a horizontal force of size 415 N. At the instant when the ladder makes a 46 degree angle with the horizontal, calculate the net torque on the ladder about its bottom end, in N m. Make your answer positive, and use g = 10 m/s2. (Please answer to the fourth decimal place - i.e 14.3225)
- One spring is placed inside the other, not touching each other, and compressed between a pair of parallel plates until the distance between the plates is 40 mm. Make a neat detailed sketch of the spring and plate assembly. If G = 83 GPa for both springs, calculate the following: 1. The force applied to the spring assembly. 2. The shear stress induced in each spring. 3. The total strain energy stored in the spring assembly. 4. The stiffness of each spring. 5. The equivalent stiffness of a single spring that can be substituted in place of these springs.To 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.)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 deltoid