A sphere of mass M and radius R is supported by a rope so that the rope is oriented tangent to the sphere. If the angle between the rope and the wall is "? What is the minimum static coefficient of friction between the sphere and the wall so that it does not fall?
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- A uniform ladder 10.o m long weighing 50.0 N rests against a smooth wall (no frictional force between ladder and wall). If the coefficient of static friction is .360 and makes a 60 degree angle with respect to the horizontal, what is the frictional force and how far along the ladder can a 70.0 kg painter climb before ladder begins to slip?Q18Ladder Slip? A 3.0-m-long ladder leans against a frictionless wall at an angle of 60°. What is the minimum value of the coefficient of static friction with the ground, that prevents the ladder from slipping? \L=3.0 m dz Center of mass • net = 0 about this point. 60° Gravity acts at di the center of mass. ***** Static friction prevents slipping.
- A 7-kg mass (m1) hangs from a cord that runs through a pulley and back down to attach to a 6-kg mass (m2) that is hanging from the other side. The pulley has a mass of 5.00-kg and a diameter of 20-cm. Find: A) the tension in the cord supporting m1 and the tension in the cord supporting m2; B) the tension in the cord supporting the pulley. C) Why is the answer to B) not equal to the sum of tensions in A)? Why is it not equal to the sum of the three weights?A student gets his car stuck in a snow drift. Not at a loss, having studied physics, he attaches one end of a stout rope to the vehide and the other end to the trunk of a nearby tree, allowing for a small amount of slack. The student then exerts a force F on the center of the rope in the direction perpendicular to the car-tree line, as shown in the figure below. If the rope is inextensible and if the magnitude of the applied force is 504 N, what is the force on the car? (Assume equilibrium conditions.) KN 12 m Tree 0.50 mThe figure below shows an arm that is balancing a carton of milk in the hand. The mass of the carton of milk is 1.77 kg, and in the figure is the gravitational force on the carton. The biceps muscle applies a force Fg to the forearm directed up and to the right at an angle of 75.0° from vertical. The point where F is applied to the forearm is 8.00 cm to the left of the elbow joint and 25.0 cm to the right of the center of gravity of the milk carton. (For simplicity, ignore the weight of the forearm.) B Milk N -25.0 cm- What is the magnitude of FB (in N)? 75.0⁰ 8.00 cm i
- It is sometimes important to determine the location of a person’s center of gravity(which coincides with the center of mass because the gravitational force is uniform at the scale of the human body). This can be done with the arrangement shown intheFigure below. A light (negligible mass) plank rests on two scales that read Fg1=380 N and Fg2=320 N. The scales are separated by a distance of 2.00 m. How far from the woman’s feet is her center of gravity?An ice skater is able to make a triple-spins in the air before landing on the ice field safely is because of the following physical lawA 2.00 m long horizontal uniform beam of mass 20.0 kg is supported by a wire as shown in the figure. The wire makes an angle of 20.0 degrees with the beam. Attached to the beam 1.40 m from the wall is a ball with a mass of 40 kg. What is the tension in the string? a)1,000 Nb) 1,090 N c) 2,100 N d) 2,250 N e) 2,680 N