A 100-N board 12-m long, rests on two supports, one support is 1m from the end and other is 3 m from the end of the board. A 400-N block is placed on the board 3 m from one end. Find the force exerted by each support on the board.

A horizontal plank 4.00 m long and having mass 20.0 kg rests on two pivots, one at the left end and a second 1.00 m from the right end. Find the magnitude of the force exerted on the plank by the second pivot.

In the figure below, a uniform beam of weight 420 N and length 2.8 m is suspended horizontally. On the left it is hinged to a wall; on the right is it supported by a cable bolted to the wall at distance D above the beam. The least tension that will snap the cable is 1200 N. Cable Beam (a) What value of D corresponds to that tension? (b) Give any value for D that won't snap the cable. m

A uniform 8.00 m, 1500 kg beam is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the beam. The beam is fixed to the wall at an angle of 30 degrees above the horizontal. The angle between the cable and the beam is 40 degrees. What are the unknowns? -direction of tension in the cable -direction of the hinge force -magnitude of rhe tension in the cable -magnitude of the hinge force

A taho vendor carries a 1.5 m long light plank over his shoulder. At the ends of the plank are two buckets weighing 40 N and 60 N respectively. (a) Find the value of force F exerted by his shoulder. Neglect the weight of the plank. ( b) Where should he support the plank for it to be balanced horizontally

A house painter is standing on a uniform, horizontal platform that isheld in equilibrium by two cables attached to supports on the roof.The painter has a mass of 75.0 kg and the mass of the platform is 20.0kg. The distance from the left end of the platform to where the painteris standing is d = 2.00 m and the total length of the platform is 5.0 m.(a) How large is the force exerted by the left hand cable? (b) Howlarge is the force exerted by the right hand cable? [Hint: You can placeyour axis in any convenient location if the object is not rotating.]

What's the force on each rope if the person is standing 1.75 m from one end?

A uniform beam 4.2 m long and weighing 2200 N carries a 3700 N weight 1.50 m from the far end, as shown in the figure below. It is supported horizontally by a hinge at the wall and a metal wire at the far end. 1) How strong does the wire have to be? That is, what is the minimum tension it must be able to support without breaking? Express your answer in newtons.   2) What are the horizontal component of the force that the hinge exerts on the beam? Express your answer in newtons.   3) What are the vertical component of the force that the hinge exerts on the beam? Express your answer in newtons.

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.