Shoes made for the sports of bouldering and rock climbing are designed to provide a great deal of friction between the foot and the surface of the rocks. Such shoes on smooth rock might have a coefficient of static friction of 0.72 and a coefficient of kinetic friction of 0.57. For a person wearing these shoes, what's the maximum angle (with respect to the horizontal) of a smooth rock that can be walked on without slipping? Enter your answer with 1 decimal place. (Do not include units in the final answer)
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- A stone has a mass of 8.79 g and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.818. When the tire surface is rotating at 10.9m/s, the stone flies out the tread. The magnitude FN of the normal force that each side of the tread channel exerts on the stone is 2.46 N. Assume that only static friction supplies the centripetal force, and determines the radius r of the tire (in terms of m)A "swing" ride at a carnival consists of chairs that are swung in a circle by L = 15.8 m cables attached at an angle of θ = 57.4° to a vertical rotating pole, as the drawing below shows. Suppose the total mass of a chair and its occupant is 161 kg. Calculate the tension in the cable attached to the chair.The block shown in the figure is along a frictionless horizontal surface The block's mass is m = 4.70 kg , the magnitude of the applied force is F= 26.5N, and the angle of the applied force from the horizontal is theta = 26.0 degrees. What is the magnitude of the normal force acting on the block.
- In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle θ = 28.4°. The slab has length L = 32.4 m, thickness T = 5.92 m, and width W = 14.3 m, and 1.0 cm3 of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.385. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.05 cm2 and will snap under a shearing stress of 3.34 × 108 N/m2, what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 8 = 29.4°. The slab has length L = 46.9 m, thickness T = 5.52 m, and width W = 12.5 m, and 1.0 cm³ of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.309. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 5.60 cm2 and will snap under a shearing stress of 3.56 x 108 N/m², what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force. (a) Number (b) Number (c) Number Units Units Unitsa bird feeder that weighs 199.3 N. The feeder is supported by a vertical wire, which is in turn tied to two wires, each of which is attached to a horizontal support. The left wire makes a 60° angle with the support, while the right wire makes a 30° angle. What is the tension in each wire (in N)? (A) left wire, (B) right wire, (C)bottom wire
- Connected objects with inclined plane problem. Consider the figure where you have two boxes connected by a string over a pulley. The smooth (frictionless) ramp is inclined to a an angle of 35° with the flat ground, and the box on the ramp has a mass of 6.40 kg. The mass of the 6.4 kg hanging box is m = 3.05 kg. You don't need to consider significant figures in your answer, but don't round excessively partway through your calculations. 35° Find (a) the direction and (b) the magnitude of the hanging box's acceleration.In the figure below, m, = 10.2 kg and m, = 4.3 kg. The coefficient of static friction between m, and the horizontal surface is 0.50, and the coefficient of kinetic friction is 0.30. An illustration shows a rectangular block of mass m, on the horizontal surface of a table. This is connected to another rectangular block of mass m, by a cord that runs over a pulley placed diagonally at the corner of the horizontal surface of the table. The rectangular block of mass m, is suspended vertically by the side of the tabletop. (a) If the system is released from rest, what will its acceleration be? (Enter the magnitude of the acceleration.) m/s? (b) If the system is set in motion with m, moving downward, what will be the acceleration of the system? (Enter the magnitude of the acceleration.) m/s2The figure below shows a bird feeder that weighs 140.1 N. The feeder is supported by a vertical cable, which is in turn tied to two cables, each of which is attached to a horizontal post. The left cable makes a 60° angle with the post, while the right cable makes a 30° angle. What is the tension in each cable (in N)? left cable right cable bottom cable 60° Bird food 30° N ZZZ N N
- The figure below shows a block weighing 22 N in contact with a vertical wall. Two forces are applied to the block, in addition to gravity, a horizontal force F of magnitude 60 N which pushes the block against a vertical wall and a force P of magnitude 62 N which pushes upward on the bottom of the block parallel to the wall. The coefficient of static friction between the wall and the block is 0.55 and the coefficient of kinetic friction between them is 0.38. Is the frictional force acting on the block static or kinetic, what is its magnitude and in what direction does it point? F PA horizontal force F pushes against a block of mass m. The mass m in turn pushes against a bigger block of mass M. There isn't friction any between the larger block and the table, but there is friction in between the blocks (coef. of static friction is μs). What's the smallest force F that will hold the smaller mass m m against the larger mass M without letting the smaller mass m fall down?A person whose mass is m = 58.0 kg steps on a mechanical bathroom scale placed on an inclined plane that makes the angle a = 33.3° with the horizontal. What is the reading on the scale? kg reading: