uniform ladder of mass 35 kg and L=7m long is placed against a vertical wall at an angle of 68 degrees with respect to the floor. The coefficient of friction between the ladder and wall is 0.33 and that between the ladder and the floor is 0.48. Find how high a man of mass 84.5kg can ascend; before the ladder begins to slip.

A 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes a 55.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 342.35 direction vertical force magnitude direction towards the wall up m N ✪ N (b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground? (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?

One end of a uniform 3.70-m-long rod of weight Fg is supported by a cable at an angle of 8 = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μ = 0.535. Determine the minimum distance x from point A at which an additional object, also with the same weight For can be hung without causing the rod to slip at point A. g' 0 B

A bridge crossing a ravine has mass Mb and length L. The bridge is supported by pilings at points A and B at the right and left ends. A truck of mass mt stops at the point L/3 from point B. Find expressions for Fa and Fb, the forces supporting the bridge at each end.