The system shown in the figure is in equilibrium.  If the block has a mass of 7 kg and the angle θ = 32.  What is the tension in the string connecting the block to the wall?  Express your answer in Newtons

A uniform 50-kg scaffold of length 7.0 m is supported by two light cables, as shown below. A 61-kg painter stands 1.0 m from the left end of the scaffold, and his paint bucket is 1.5 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables and the mass of the bucket.   m bucket =       kg T (left) =             N T (right) =             N

The block shown in (Figure 1) has a mass of m = 100 kg, a height H = 1.4 m, and width L = 2 m. It is resting on a ramp that makes an angle = 38 ° with the horizontal. A force P is applied parallel to the surface of the ramp at the top of the block. What is the maximum force that can be applied without causing the block to move? The coefficient of static friction is μ = 0.38, and the center of mass of the block is at the center of the rectangle. Figure Att P H ( y N F x 2 of 2 Part D Use the free-body diagram shown in (Figure 2) and write the equilibrium equation for the moments about the point of contact. Express your answer in terms of one or more of P, W, H, L, N, F, and 0. Σ Μo = 0 = Submit Part E Ptip= Submit Part F What is the maximum magnitude of P that can be applied before tipping would occur, assuming the block does not slip? Express your answer to three significant figures with appropriate units. CHA Pmax = IVE ΑΣΦΠ 1 Submit Request Answer Value Provide Feedback Request…

An object is subjected to three forces as shown in the figure.  Assume F1 = 50.0 N and F2 = 95.0 N, what is T if the object is in static equilibrium?  Enter a number with three significant digits.

A small box of mass m1m1 is sitting on a board of mass m2m2 and length LL (Figure 1). The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is μsμs μsμs   Throughout the problem, use gg for the magnitude of the free-fall acceleration. In the hints, use ff for the magnitude of the friction force between the board and the box. Find Fmin, the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which will then fall off of the opposite end of the board) Express your answer in terms of some or all of the variables μsμs m1m1 m2m2 g L Do not include ff in your answer.

In the figure, a horizontal scaffold, of length 2.26 m and uniform mass 59.9 kg, is suspended from a building by two cables. The scaffold has dozens of paint cans stacked on it at various points. The total mass of the paint cans in 79.9 kg. The tension in the cable at the right is 739 N. How far horizontally from that cable is the center of mass of the system of paint cans? Number i Units m

F. y M. mg AF FY f.Y Fixle Axis The ladder in the picture has a mass of 39 kilograms and a length 3.4 meters. What is the normal force pushing the ladder up from the floor? This force is labeled Ff v in the picture. FN Assume that the ladder's weight is evenly distributed, so it can be treated as a single force through the middle. If the ladder is at a 70° angle from the ground, what is the torque exerted by the weight (using the floor as the pivot point)? N.m The torque from the ladder must be balanced by the torque caused by the normal force on the wall, labeled Fw in the picture. Calculate this force. Fw = The normal force from the wall must be balanced by the friction force from the floor, labeled Ff y in the picture Determine thn

An engineering student suspends his 300 N tool box by using a system of ropes and pulleys, as shown in the figure. The mass M1 is equal to 20.0 kg. The angle e and the mass M2 have been chosen so that the entire system remains at rest. Assume that the pulleys are all ideal and frictionless, and that the cords have negligible weight. A+y T2 M2 Mi TOOL BOX 33. The angle 0 is equal to A. 33.2°. В. 3.8°. C. 56.8°. D. 49.2°. E. 40.8°. 34. The mass M2 is equal to A. 30.6 kg. B. 20.0 kg. C. 40.0 kg. D. 50.6 kg. E. 36.6 kg.

A 1,175 N dowel is held in place by a light cord at an angle ? = 31.0° to the horizontal as shown in the figure. The dowel is attached to a pivot at the bottom, and a mass of weight w = 2,100 N hangs from its top. The dowel makes an angle of ? = 59.0° with the horizontal. Assume the dowel is uniform.   Find the tension in the supporting cord (in kN).  kN (b) Find the components of the reaction force (in kN) exerted by the floor on the dowel. horizontal component:magnitude kNdirection    vertical component:magnitude kNdirection

A beam of length 11 m is supported as shown below. There is a pin in the bottom end of the beam and a mass hanging from the top end of the beam. If the mass of the beam is mb =264 kg, the hanging block has a mass of m1 =81.8 kg, theta = 50.1 degrees, and phi = 35.1 degrees, what is magnitude of the tension in the wire attaching the beam to the ground?