Blocks A and B each have a mass m = 14 kg . The coefficient of static friction between A and B is us = 0.36. The angle shown is 0 = 31. Neglect any friction between B and C. Right triangle A is stacked on top of right triangle B to create a rectangular block sitting on top of surface C. The angle between the hypotenuse and adjacent in triangle B is theta. A ninety-degree force P, acting to the left, is applied to the opposite side of triangle B. Determine the largest horizontal force P that can be applied so that A will not slip on B

The figure shows an overhead view of a 0.0260 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F, has a magnitude of 6.00 N and is at e, = 25.0°. Force F2 has a magnitude of 7.00 N and is at 02 = 26.0°. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity v = (12.0i – 12.0j) m/s, and (c) has the V = (14.0tî – 14.0fj) m/s², where t is time?

A block of mass m = 19.5 kg rests on an inclined plane with a coefficient of static friction of μs = 0.11 between the block and the plane. The inclined plane is L = 6.7 m long and it has a height of h = 3.35 m at its tallest point.  What angle, θ in degrees, does the plane make with respect to the horizontal? What is the magnitude of the normal force, FN in newtons, that acts on the block? What is the component of the force of gravity along the plane, Fgx in newtons? Will the block slide?

Consider the four forces to be in equilibrium. The force F2 has a magnitude of 70.0 N and is in the negative x-direction. The force F3 is in the positive y direction. The force F1 makes an angle =25.0o with respect to the positive z-axis. When projected onto the xy plane the force F1 makes and angle of =32.0o with respect to the positive x-axis. What is the magnitude of the force F4 if it is in the negative z-direction? Give your answer in Newton's

A 11 N horizontal force pushes a block weighing 5.4 N against a vertical wall (see the figure). The coefficient of static friction between the wall and the block is 0.56, and the coefficient of kinetic friction is 0.34. Assume that the block is not moving initially.(a) Will the block move? ("yes" or "no") (b) In unit-vector notation Fi + Fj, what is the force on the block from the wall? (a) (b) Number i î+ i Ĵ Units

You are a bully.  You pin a 48 kg dweeb to a wall so that his feet aren't touching the ground.  Your arm is extended so that it makes an angle 28 degrees with the horizontal.  The dweeb's back is so sweaty with fear that there is no friction between his back and the wall.  What is the magnitude of the force , in N, you must apply to keep the dweeb in equilibrium? (Use g = 10 m/s2) This scenario is represented schematically below.  Unfortunately for you, years later the dweeb is your boss and he makes your life miserable. (Please answer to the fourth decimal place - i.e 12.3445)

A block with a mass of 9.32 kg is placed on a ramp. The ramp has an incline of ? = 20.2 degrees from the horizontal. The static coefficient of friction between the block and ramp is μs = 0.255, and the kinetic coefficient of friction between the block and ramp is μk = 0.134. A force, F, is exerted on the block as shown. Note that the force F is parallel with the ramp. What is the smallest value (magnitude) for the force, F, in Newtons that can be exerted on the block to hold the block stationary on the ramp?  What is the largest value (magnitude) for the force, F, in Newtons that can be exerted on the block while still holding the block stationary on the ramp?  What value (magnitude) for the force, F, is needed to move the block up the ramp at a constant speed?

A block with a mass of 10.09 kg is placed on a ramp. The ramp has an incline of ? = 25.7 degrees from the horizontal. The static coefficient of friction between the block and ramp is μs = 0.211, and the kinetic coefficient of friction between the block and ramp is μk = 0.112. A force, F, is exerted on the block as shown. Note that the force F is parallel with the ramp.  What is the smallest value (magnitude) for the force, F, in Newtons that can be exerted on the block to hold the block stationary on the ramp?  What is the largest value (magnitude) for the force, F, in Newtons that can be exerted on the block while still holding the block stationary on the ramp?   What value (magnitude) for the force, F, is needed to move the block up the ramp at a constant speed?

The block shown in the figure is along a frictionless horizontal surface The block's mass is m = 4.70 kg , the magnitude of the applied force is F= 26.5N, and the angle of the applied force from the horizontal is theta = 26.0 degrees. What is the magnitude of the normal force acting on the block.

One block rests upon a horizontal surface. A second identical block rests upon the first one. The coefficient of static friction between the blocks is the same as the coefficient of static friction between the lower block and the horizontal surface. A horizontal force is applied to the upper block, and its magnitude is slowly increased. When the force reaches 49.3 N, the upper block just begins to slide. The force is then removed from the upper block, and the blocks are returned to their original configuration. What is the magnitude of the horizontal force that should be applied to the lower block, so that it just begins to slide out from under the upper block?