Sketch two cables, one at 17.3° and another at 12.8° from the ceiling, hold a 1989.8 kg platform. A 10.2 kg penguin suddenly falls on top of the platform and decides to sleep there for the night. Under these odd circumstances, calculate the tension in each cable.

Two squirrels are sitting on the rope as shown. The squirrel at A has a weight of 1.2lb. The squirrel at B found less food this season and has a weight of 1/b. The angles and are equal to 40° and 48° respectively. Determine the tension force in each of the rope segments in segment AC, T₂ in segment AB, and T in segment BD) as well as the angle xx in degrees. 2 3 c Two squirrels are sitting on the rope as shown. The squirrel at A has a weight of 1.2 lb. The squirrel at B found less food this season and has a weight of 1 lb. The angles and are equal to 40° and 48° respectively. Determine the tension force in each of the rope segments (7₁ in segment AC, T2 in segment AB, and T3 in segment BD) as well as the angle a in degrees. a 1 B

In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 0 = 27.8°. The slab has length L = 41.2 m, thickness T = 7.51 m, and width W = 14.1 m, and 1.0 cm³ of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.315. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 7.06 cm² and will snap under a shearing stress of 3.06 × 108 N/m², what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force. (a) Number i (b) Number (c) Number i Units Units Units <

A block having a weight of G is placed on the rough surface of the triangular prism ABC. The coefficient of static friction between the block and the surface is f, and f> tan. The triangular prism is moving to the left with a constant acceleration a. Determine the biggest acceleration to keep the block relatively resting on the surface. B (1) a cos 0 +f, sin 0 -f sin g (2) a sin+f, cos cos-f, sin max cos sin+f, cos 0 cos+f, sin (3) dmas g (4) a sin 0-f, cos 0 sin 0-f, cos 0 max max g