A 20-kg cabinet is mounted on casters that allow it to move freely (u=0) on the floor. If a 100-N force is applied as shown, determine (a) the acceleration of the cabinet, (b) the range of values of h for which the cabinet will not tip.
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- To loosen a pipe fitting, a plumber slips a piece of scrap pipe (a "cheater") over his wrench handle. He stands on the end of the cheater, applying his 900 N weight at a point 0.80 m from the center of the fitting. The wrench handle and cheater make an angle of 19° with the horizontal. Find the magnitude and direction of the torque he applies about the center of the fitting. (680 Nm) F-900NConsider the following distribution of objects: a 4.00-kg object with its center of gravity at (0, 0) m, a 1.20-kg object at (0, 3.00) m, and a 3.40-kg object at (4.00, 0) m. Where should a fourth object of mass 6.00 kg be placed so that the center of gravity of the four-object arrangement will be at (0, 0)?A solid ball is released from rest and slides down a hillside that slopes downward at 65.0° from the horizontal. (a) What minimum value must the coefficient of static friction between the hill and ball surfaces have for no slipping to occur? (b) Would the coefficient of friction calculated in part (a) be sufficient to prevent a hollow ball (such as a soccer ball) from slipping? Justify your answer. (c) In part (a), why did we use the coefficient of static friction and not the coefficient of kinetic friction?
- Answer the question in full details, thank you very much: A uniform, solid 2.5 kg cylinder can rotate about an axis through its center at O. The forces applied are : F1 =45N, F2 =4.3N, F3 = 5.5N,and F4 = 4.8 N. Also, R1 = 10. cmand R3 = 4.2cm. Find the magnitude (in rad/s^2) and direction (+ denotes counterclockwise and — denotes clockwise) of theangular acceleration of the cylinder..) The figure shows a vertical force applied tangentially to a uniform cylinder of weight F. The coefficient of static friction between the cylinder P and all surfaces is 0.500. The force P is increased in magnitude until the cylinder begins to rotate. In terms of F, find the maximum force magnitude P that can be applied without causing the cylinder to rotate. Suggestion: show that both friction forces will be at their maximum values when the cylinder is on the verge of slipping.There is this ladder with a length L = 3.5 m and mass M= 15 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. There is also static friction between floor and ladder is u = 0.47. The ladder makes an angle 0 = 55° with respect to the floor. A person of mass 8M stands on the ladder a distance d from its base. What is the magnitude of the normal force N, in newtons, exerted by the floor on the ladder? What is the largest distance up the ladder dmax, in meters, that the person can stand without the ladder slipping?
- Problem 1: Consider a small block weighing 200 grams that is placed 10 cm from the center of turntable. The turntable slowly begins to spin. If the static friction coefficient is g = 0.4, at what angular velocity will the block begin sliding off the turntable?A man of weight W is on the top of a symmetric two-legged ladder, which is standing on a horizontal surface, as it is shown in the figure. The length of the ladder is L. There is a chain of length a, attached between the bottom third points of the legs, which prevents the collapse of the ladder. (a) Determine the tension T in the chain assuming that the floor is very slippery. (b) Determine the minimal static friction coefficient forwhich the ladder does not collapse even without thechain. In both cases calculate with symbols, and give the numerical result for L = 5 m, W = 800 N, a = 1.5 m.A meter stick is supported by a knife-edge at the 50-cm mark. You hang masses of 0.40 kg and 0.60 kg from the 20-cm and 80-cm marks, respectively. Where should you hang a third mass of 0.30 kg to keep the stick balanced?
- A door of length 2.00 m is carried flat by 3 people, with one at the end and the other two on opposite sides at a point on the door. If the weight of the door is equally distributed amongst the 3 people, where in relation to the free end are the two people located who are holding the sides?A 10kg monkey climbs a uniform ladder with weight 120N and length 3m as shown in the figure. The ladder rests against the wall at an angle=60 degrees . The upper and lower ends of the ladder rest on frictionless surfaces, with the lower end fastened to the wall by a horizontal rope that can support a maximum tension of only 80N. (a) Draw a free body diagram for the ladder. (b) Find the normal force exerted on the bottom of the ladder. (c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder. (d) Find the maximum distance that the monkey can climb the ladder before the rope breaks. (e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem be changed and what other information would you need to answer parts (c) and (d)?A jet transport has a weight of 2.14 x 106 N and is at rest on the runway. The two rear wheels are 17.0 m behind the front wheel, and the plane's center of gravity is 10.5 m behind the front wheel. Determine the normal force exerted by the ground on (a) the front wheel and on (b) each of the two rear wheels.