Two children playing on a frictionless garden gate invent a new game called "gate." The idea is that they will get on opposite sides of the gate and each push such that the gate does not move. If they both push horizontally and perpendicular to the gate and one child pushes with a force of 180 N at a distance of 0.580 m from the hinges, determine the force the second child must exert in order to keep the gate from moving if she pushes at a distance of 0.280 m from the hinges.

In a figure,  m1 = 10.4 kg  and  m2 = 4.3 kg.  The coefficient of static friction between m1 and the horizontal surface is 0.50, and the coefficient of kinetic friction is 0.30. An illustration shows a rectangular block of mass m1 on the horizontal surface of a table. This is connected to another rectangular block of mass m2 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 m2 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/s2(b) If the system is set in motion with m2 moving downward, what will be the acceleration of the system? (Enter the magnitude of the acceleration.) m/s2

F 0 EC FAC $ Ed and Al are pushing on a couch as shown in the picture and it doesn't slip. Ed is pushing with a force of 198.9 N at an angle of 0 = 54 degrees with respect to the vertical and Al is pushing with a force of 60.2 N at an angle of = 35.4 degrees with respect to the horizontal. If the couch has a mass of 83 kg and the coefficients of static and kinetic friction between the couch and the floor are μg = 0.53, and k = 0.39, what is the magnitude of the force of friction exerted by the floor on the couch? Click here for a hint F

The historic Stanley Center for the Arts in Utica, New York is the proud owner of the world’s largest LED chandelier. The chandelier is 35 feet wide, 17 feet tall and has a mass of 2900 kg. It is directly supported by four cables which make an angle of 63° with the horizontal. Determine the tension in the cables.

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.

a 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

The figure below shows a bird feeder that weighs 189.7 N. The feeder is supported by a vertical string, which is in turn tied to two strings, each of which is attached to a horizontal branch. The left string makes a 60° angle with the branch, while the right string makes a 30° angle. What is the tension in each string (in N)? left string right string bottom string 60° Bird food 30° N N

A 3.0-kg block sits on top of a 5.0-kg block which is on a horizontal surface. The 5.0-kg block is pulled to the right with a force F⃗  as shown in the figure . The coefficient of static friction between all surfaces is 0.56 and the kinetic coefficient is 0.39.What is the minimum value of F needed to move the two blocks? If the force is 10% greater than your answer for (a), what is the acceleration of each block?

The 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