A pole-vaulter with a mass of 62 is holding a vaulting pole parallel to the ground. The pole is 5 m long. The vaulter grips the pole with his right hand 0.3 m from the top end of the pole with his left hand 0.7 m from the top end of the pole. Although this pole is quite light, its mass is only 3.4 kg. the force that the vaulter must exert on the pole to maintain it in this position are quite large. How is the force exerted by the pole vaulter's left hand? (Assume that the vaulter exerts only vertical- up or down- forces on the horizontal pole and that the center of gravity of the pole is located at the center of its)

A 1.0 m long uniform iron bar is balanced on triangular support at its middle with 200 g hanging form it on a string tied 10 cm from the middle and mass m hanging form it on a string tied 40 cm from the middle of the bar.  What is the mass m?  cc  (The triangular support and 200 g mass on a string and mass m on a string are the only things touching the bar.)

A beam resting on two pivots has a length of L = 6.00 m and mass M = 87.0 kg. The pivot under the left end exerts a normal force n₁ on the beam, and the second pivot placed a distance = 4.00 m from the left end exerts a normal force n₂. A woman of mass m = 52.0 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. -L- m M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Where is the woman when the normal force n₁ is the greatest? x = L m (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n₂ when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium equation, with torques computed…

A uniform disk with mass m = 8.75 kg and radius R = 1.41 m lies in the x-y plane and centered at the origin. Three forces act in the +y- direction on the disk: 1) a force 315 N at the edge of the disk on the +x-axis, 2) a force 315 N at the edge of the disk on the -y-axis, and 3) a force 315 N acts at the edge of the disk at an angle 0 = 38° above the -x-axis. +y +x F3 IF, F2

A hiker, who weighs 659 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 4280 N, and rests on two concrete supports, one on each end. He stops 1/5 of the way along the bridge. What is the magnitude of the force that a concrete support exerts on the bridge (a) at the near end and (b) at the far end?

A 10 m long board has a mass of 7 kg. The left end of the board is against a wall and it sticks straight out like a boom.  A rope is tied 1 m from the right end of the board and makes a 44 degree angle with the boom. A 25 kg box hangs 3 m from the right end. Find the tension in the rope.

You're carrying a 3.4-m-long, 24 kg pole to a construction site when you decide to stop for a rest. You place one end of the pole on a fence post and hold the other end of the pole 35 cm from its tip. How much force must you exert to keep the pole motionless in a horizontal position?

A fence post of mass m = 8 kg supports a fence with three lengths of barbed wire. The bottom wire is a distance d = 0.35 m from the ground and each wire is a distance 0.35 m above the previous one. Each of these three wires has the tension on it. For this problem, assume that the force exerted by these wires is purely horizontal. An additional guy wire is used to keep the pole upright with a tension of Fa = 490 N. The guy wire attaches to the post at a point h = 0.86 m above the ground and makes an angle of θ = 45 with respect to the horizontal. Write an expression for the tension in any one of the three fence wires.  What is the normal force that the ground exerts upward on the post?

A 2.99 m long ladder that has a mass of 5.84 kg leans against a frictionless wall. The coefficient of static friction between the ladder and the floor is 0.589. What is the maximum angle that the ladder can make with the floor without slipping if a 87.6 kg person stands half-way up the ladder? θ =  °

A 9 m long board that has a mass of 14. Each end is held up by a vertical rope. A 45 kg box sits 1 m from the left end. Find the tension in the rope on the right. Hint:  With forces applied at different places, this is a beam problem pick a pivot point measure all distances from the pivot point Apply Στ = 0  Don't forget torque = force x dist, so you need to multiply the masses by g = 9.8 m/s2  If you need more information, apply ΣF = 0