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- An object hangs between two walls which are 1.8 m apart. If the rope sags 15° below horizontal and the object’s mass is 1.5 kg, what is the tension in the rope?A person whose mass is m = 104.0 kg steps on a mechanical bathroom scale placed on an inclined plane that makes the angle a = 33.7° with the horizontal. What is the reading on the scale? reading: kgA heavy crate is suspended from two ropes as it is lowered from a high shelf to the floor at a constant speed. One of the ropes makes an angle of 26.5 degrees with respect to the vertical and has a tension of 653 N, while the other makes an angle of 31.5 with respect to the vertical. What is the crate's mass in kg?
- A steel beam is suspended from two ropes as it is lifted to the top of a building at a constant speed. One of the ropes makes an angle of 25.2 degrees with respect to the vertical and has a tension of 722 N, while the other makes an angle of 29.5 with respect to the vertical. What is the beam's mass in kg?An elevator has a mass of 200kg. An average person has of 40 kg. The elevator must accelerate upward at 3 m/s^2. If the elevator cable is capable of supporting 6500 N of tension before it breaks. What is the maximum number of people you could have on board?A crate is pushed across a horizontal surface by the applied force shown in the figure. The magnitude of the force F = 24.1 N, 0 = 27.9°, the coefficient of kinetic friction between the block and the surface is 0.4, and M = 2.49 kg, what is the magnitude of the acceleration of the crate in m/s?
- A worker pulls a 15-kg crate in a straight line on a level surface by imparting a horizontal tension of 80 N to the free end of a cable whose other end is attached to the crate. If the coefficient of static friction is 0.40, what is the acceleration of the crate?You are working for a shipping company. Your job is to stand at the bottom of an 8.0-m-long ramp that is inclined at above the horizontal. You grab packages off a conveyor belt and propel them up the ramp. The coefficient of kinetic friction between the packages and the ramp is uk =0.30. What is the angle of the inclined ramp?A horse pulls a box of mass M = 55 kg across a rough horizontal surface by applying a horizontal force of 874 N.If the coefficient of kinetic friction between the box and the surface is μk = 0.5, what is the acceleration of thebox?
- If the uniform concrete block has a mass of 500 kg, determine the smallest horizontal force P needed to move the wedge to the left. The coefficient of static friction between the wedge and the concrete and the wedge and the floor is 0.3. The coefficient of static friction between the concrete and floor is 0.5. ANSWER: P = 1797.52 N = 1.80 kN 3 m B 150 mm; 7.5° a.) the angle of friction between the wedge and the concrete and the wedge and the floor. Answer: 0wedge and concrete = 0wedge and floor = 16.7° b.) the coefficient of static friction between the concrete and floor. Answer: 0concrete and floor = 263.56° %3DA person doing a chin-up weighs 700 N, exclusive of the arms. During the first 25.0 cm of the lift, each arm exerts an upward force of 355 N on the torso. If the upward movement starts from rest, what is the person’s velocity at that point?A circus gymnast hangs from two ropes attached to the ceiling while lowering himself to the floor at a constant speed. One of the ropes makes an angle of 28.3 degrees with respect to the vertical and has a tension of 352 N while the other makes an angle of 26.3 with respect to the vertical. What is the gymnast's mass in kg?