A beaker of circular cross section of radius 8 cm is filled with mercury up to a height of 6 cm. Find the force exerted by the mercury on the bottom of the beaker. The atmospheric pressure = 105 N m. Density of mercury - 13600 kg/m3 . Take g =10

A tank full of water is designed with ends in the shape of an isosceles triangle with height 19 meters and width, at the top, of 2 meters. Find the hydrostatic force on one end of the tank. Newtons

A tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The gate is an isosceles triangle with a base/width of 0.7 m and a height of 1.4 m. What force (F) applied at the gate's centroid is needed to keep the gate closed? The height from the water surface to the gate centroid is given by h = 4.9 m. Please note that the side view of the gate is shown and that the force is applied at the gate's centroid, although not accurately drawn.

A tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The gate is an isosceles triangle with a base/width of 0.7 m and a height of 1.4 m. What force (F) applied at the gate's centroid is needed to keep the gate closed? The height from the water surface to the gate centroid is given by h = 4.9 m. Please note that the side view of the gate is shown and that the force is applied at the gate's centroid, although not accurately drawn.

A U-tube manometer contains a liquid having a density of 800 kg/m°. When the manometer is connected to a gas pipe, the level in the open arm is 30 cm higher than the level in the column connected to the gas pipe. Find the absolute pressure of the gas in bar, if the barometric pressure is 75 cm of Hg.

Work out the inverse kinematics of a scara robot assuming that the first and second rotatingrobot’s links are 60 and 40 cm long, and the last vertical link’s maximal stroketravel is 50 cm long. The robot is mounted on a stationary column at the heightof 70 cm.

A vertical plate is in the shape of a parabola 2 ft wide at the top and depth at the center is 4 ft. If this is submerged in oil of ρ = 60 lbs/ft3, find the force of the liquid on this plate if the liquid level is 4 ft from the top of the plate.

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A flat rectangular plate 1 m wide and 2 m long is immersed in water. The shorter side parallel to water surface and 0.5 m below it. The longer side is inclined at 60° to the vertical. Calculate the magnitude, direction and location of force acting upon one side of plate due to water pressure. Water 30 60 0.5m 2m 1m

2. Figure 2 shows the rectangular gate AB with the width of the gate is 2.5 m. Find the resultant force and its centre of pressure vertically from the water surface to gate AB. 17 m water Figure 2 B 9.6 m 7.2 m