A 16.0-m uniform ladder weighing 510 N rests against a frictionless wall. The ladder makes a 57.0° angle with the horizontal. (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.90 m along the ladder from the bottom. Horizontal force: magnitude direction Vertical force: magnitude direction towards the wall up V N N (b) If the ladder is just on the verge of slipping when the firefighter is 8.70 m from the bottom, what is the coefficient of static friction between ladder and ground?

The figure below shows a claw hammer being used to pull a nail out of a horizontal board where 0 = 25.6°. The mass of the hammer is 1.00 kg. A force of 145 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. Ө 30.0 cm Single point of contact 5.00 cm (a) Find the force exerted by the hammer claws on the nail. magnitude KN direction above the horizontal (b) Find the force exerted by the surface on the point of contact with the hammer head. Ĵ) N ( Î +

Problem 68

An 66 kg man is climbing up a 7.0 m ladder that is resting against a smooth, frictionless wall. The ladder has a mass of 10 kg and it makes an angle of p=58° with the ground. The maximum horizontal force the ground can exerts to support the ladder is 342.ON. At what position, measured from the bottom along the ladder, as the man climbs the ladder will start to collapse? Answer: 5.55 m.

b) Determine the horizontal and vertical components of the force acting on the hing 3. A uniform 4.0 m long beam with a mass of 15 kg rests on a pivot at one end and is kept horizontal by a cable at the other end. The beam is supporting a 25 kg mass as shown. What is the tension in the cable? pluct 15 kg beam 2.5m - Fird ferce or support) сп вест of 25 kg -1.5 m 55⁰ 55° weight of beam = middle weight of dhject = pa te middle on

A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 65.0°-angle with the horizontal. A) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 840-N firefighter has climbed 4.10 m along the ladder from the bottom. B) If the ladder is just on the verge of slipping when the firefighter is 9.20 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?

A 10 m long ladder with mass of 20 kg rests against a smooth wall at height of 8 m at an inclination a to the rough ground floor. Assuming that there is no friction between the wall and the ladder, but there is a frictional force between the floor and the ladder. (a) Determine the minimum static coefficient of friction, 4 between the floor and the ladder for which equilibrium is possible. (b) A worker of mass 80 kg climbs up the ladder. Determine how far the worker may go up before the ladder starts to slip. (c) By comparing between frictional force of floor and wall, determine whether a worker can climb safely to the top of the ladder or not.

One end of a uniform rod of weight w = 74.0 N and length L = 2.85 m is supported by a cable at an angle of 0 = 34.0° above the rod. The other end rests on a small frictionless support and presses into a wall as shown in the figure. -Support -L- Determine the magnitude n of the vertical normal force exerted by the support on the rod and find the magnitude T of the tension in the cable. n = T =

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