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A 853 N magician (note: this is weight, not mass) is freeing himself from some shackles while suspended above a swimming pool filled with alligators. Two ropes are suspending the magician. The left rope makes an angle of 42 above the horizontal and points up and to the left. The right rope makes an angle of 78 above the horizontal and points up and to the right. Calculate the tension in the left rope, in N. (Please answer to the fourth decimal place - i.e 10.5432)
Objects with masses m₁ = 11.0 kg and m₂ = 6.0 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m₂ falls 1.00 m in 1.64 s, determine the coefficient of kinetic friction between m₁ and the table. 54.39 X Express the friction force in terms of the coefficient of kinetic friction. Obtain an expression for the acceleration in terms of the masses and the net force, including friction, and solve for the coefficient of kinetic friction. m1 m₂
A sled weighing 53.5 N is pulled horizontally across snow so that the coefficient of kinetic friction between sled and snow is 0.100. A penguin weighing 70.5 N rides on the sled, as in the figure below. If the coefficient of static friction between penguin and sled is 0.700, find the maximum horizontal force that can be exerted on the sled before the penguin begins to slide off.
An object of mass, m, is suspended by two cords connected to a wall and to a 5.0 kg block resting on a table as shown. A coefficient of friction of 0.47 exists between the 5.0 kg block and the table. a) Draw an FBD for block with mass 5.0 kg. Determine the magnitudes of the tension in the horizontal rope (T1) and of the normal force acting on block. (FN). b) Draw an FBD of point of connection of three ropes. Calculate the tension T2 on the rope that form an angle 0 = 32° with the wall. c) Draw an FBD for unknown mass. Determine the magnitude of the tension in the vertical rope (T3) and the unknown mass.
The figure below shows a box with a mass of m= 3.90 kg on a ramp inclined at an angle of 35.0°. The coefficient of static friction between the box and the ramp is 0.250. Find the minimum magnitude of the force F (in N), applied to the box in a direction perpendicular to the ramp, that will prevent the box from sliding down the ramp. N m 35.0°
A woman exerts a horizontal force of 111 N on a box with a mass of 31.7 kg. HINT (a) If the box doesn't move, what's the magnitude of the static friction force (in N)? N (b) What is the minimum possible value of the coefficient of static friction between the box and the floor? (Assume the box remains stationary.)
Two blocks with masses m1= 50 kg , m2= 100 kg are connected with a rope. Blocks are pulled with a 20.0 N force making a=30.0 degree angle withhorizontal on a frictionless surface. first question: Show all the forces on the two blocks by drawing a seperate diagram for each block. second question: apply the newton rules and find the tension (T=?) in the rope in between the two blocks.
A man exerts a horizontal force of 131 N on a crate with a mass of 36.2 kg. (a) If the crate doesn't move, what's the magnitude of the static friction force (in N)? Make a free-body diagram and apply the x-component of Newton's second law. N (b) What is the minimum possible value of the coefficient of static friction between the crate and the floor? (Assume the crate remains stationary.) Apply the relationship between static friction and the normal force.
A beam of mass M and length L is hanging from a rope perpendicular to a wall. The rope is attached at a point that is 75% of the length of the beam. A second rope is attached to the end of the beam. On the second rope hangs a block with mass m. (a) Draw all forces acting on the beam in a free body diagram. (b) Write the equations necessary for equilibrium in terms of the forces for this situation. (c) Use the torque equation to solve for the tension.
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/s2
Three blocks are connected over two frictionless, massless pulleys by two inextensible, massless cords as shown in the figure. There is friction between block m2 and the horizontal surface of the table. If the block m₁ moves downward after being released from rest, then what is the magnitude of the acceleration of the blocks and the magnitude of the tension in the cords in terms of the masses of the blocks m₁, m2, and m3, the coefficient of kinetic friction between block m₂ and the table, uk, and the acceleration due to gravity, g. Include a force diagram or free-body diagram of the situation. m1 mq m3