4. Determine the resultant of the three forces acting on the dam and locate its intersection with the base AB. For good design, this intersection should occur within the middle third of the base. Does it? F=6000 lb W=24,000 lb P=10,000 lb 60 -18 B.
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- A train, traveling at 66 mi/h, rounds a horizontal curve of 390 ft radius. A passengerstanding in the lounge notes that she mustlean inward to keep from falling. Let an angle leaning inward be positive and outward benegative.At what angle from vertical must she lean?Since the radius of the curve is much greaterthan the height of the passenger, neglecttorques. 1 mile = 5,280 ft.Answer in units of ◦.The two planks in Fig. 6–30a are connected together by cable BC anda smooth spacer DE. Draw the free-body diagram of the system of both planks andapply MA = 0 to determine NF. Then use the free-body diagram ofCEF to determine FDE and FBC.What minimum force must be exerted?
- If the cross product of two vectors vanishes, what can you say about their directions?• Pulling the string on a bow back with a force of 28.7 lb, an archerprepares to shoot an arrow. If the archer pulls in the center of thestring, and the angle between the two halves is 138°, what is thetension in the string?A 1350N window washers platform, 3.5 m long is suspended by two vertical wires at its ends. A 600N person is standing 2.0m form the right end. What are the tensions on both sides in two wires?
- The coplanar force system shown has a resultant of 400N acting in the direction toward a point with coordinates (5,6). Determine the characteristics of the unknown force W.A thin rod of mass m and length L is released from rest from a nearly upright position, let’s say θ = 89o. What is the minimum height from which the rod should be released in order to land horizontally when it hits the ground.Why do we use cos 0 degrees when we calculate external force?
- A horizontal plank 4.00 m long and having mass 20.0 kg restson two supports, one at the left end of the plank and a second1.00 m from the right end of the plank. What is the magnitude of theforce exerted on the plank by the support on the right side?In order to get his car out of the mud, a man ties one end of a rope to the front bumper and the other end to a tee 15 m away as shown below. He then pulls on the center of the rope with a force of 400 N, which causes its center to be displaced 0.30 m, as shown. What is the force of the rope on the car?Check Your Understanding A two-dimensional, conservative force is zero on the x- and y-axes, and satisfies the condition (dFx/dy)=(dFy/dx)=(4N/m3)xy what is the magnitude of the force at the point x=y=1m ?