A tugboat is used to tow a barge as shown in Fig. The weight of the cable, after accounting for the buoyant force of the water on the submerged cable, is 120 N/m. The horizontal component of the force exerted on the barge by the cable is 40 kN. Determine The length of the cable. 200 m

The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a fluid force of 6400 lb. Assuming the density of water is 62.4 lb/ft³, how many cubic feet can the trough hold without exceeding this limitation? What is the value of h, the depth of water that exerts a fluid force of 6400 lb? What is the integral that gives the fluid force exerted on the end of the trough when filled with water to a depth of h? h Sody The maximum volume is ft³. (Round down to the nearest cubic foot.) The value of his (Round to two decimal places as needed.) (-3,14) (0,h) y (ft) (3,14) 14 y 3x x (ft) 0 End view of trough 14 ft 30 ft 6 ft → Dimensional view of trough

A person wearing long snowshoes can walk across a blanket of freshly fallen snow without sinking far into the snow because   (p.s. Google snowshoe if you don't know how one looks like)    snowshoes cover a larger area than a foot and so the pressure is reduced.            the snowshoes reduce the force of the person on the snow.            the large area of the snowshoe concentrates the force of the person to a point smaller than the foot.            snowshoes push less dense snow out of the way so the person stands on more solid ice below

Problem 3: A cube of material is submerged 8 ft below the surface of water. If the cube measures 1.5 ft per side, determine the magnitude and direction of the additional force needed to keep the cube from moving if it is made of (a) polyethylene ( 14 lbm/ft³) or (b) stainless steel (550 lbm/ft³).