A uniform disk with massm = 8.75 kg and radius R = 1.41 m lies in the x-y plane and centered at the origin. Three forces act in the +y- direction on the disk: 1) a force 315 N at the edge of the disk on the +x-axis, 2) a force 315 N at the edge of the disk on the -y-axis, and 3) a force 315 N acts at the edge of the disk at an angle 0 = 38° above the -x-axis. +y +x F3 IF, 1 F2

Children playing pirates have suspended a uniform wooden plank with mass M = 13.4 kg, length ℓ = 2.40 m, and angle θ = 35.0°, as shown in the figure. Sophia, with a mass of m = 21.6 kg, is made to "walk the plank" and is d = 1.5 m from reaching the end of the plank. What is the tension acting on the rope at the end (i.e value of F3)?

The drawing shows two identical systems of objects; each consists of the same three small balls connected by massless rods. In both systems the axis is perpendicular to the page, but it is located at a different place, as shown. The same force of magnitude F is applied to the same ball in each system (see the drawing). The masses of the balls are m1 = 9.0 kg, m2 = 6.1 kg, and m3 = 7.9 kg. The magnitude of the force is F = 441 N. (a) For each of the two systems, determine the moment of inertia about the given axis of rotation. (b) Calculate the torque (magnitude and direction) acting on each system. (c) Both systems start from rest, and the direction of the force moves with the system and always points along the 4.00-m rod. What is the angular velocity of each system after 5.35 s?

A small block with mass 0.0425 kg slides in a vertical circle of radius 0.450 m on the inside of a circular track During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3 85 N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0575 N Part A How much work was done on the block by friction during the motion of the block from point A to point B Express your answer with the appropriate units. Writion 0.15 Submit → J Previous Answers Request Answer X Incorrect; Try Again: 2 attempts remaining Check your signs ?

A 14.0 m uniform ladder weighing 520 N rests against a frictionless wall. The ladder makes a 65.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.80 m along the ladder from the bottom. horizontal force magnitude direction N towards the wall vertical force magnitude direction up N (b) If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips? m

A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are placed on the table as follows: a 6.0 kg object at the origin of the coordinate system, a 13.0 kg object at (0, 2.0), and a 14.0 kg object at (4.0, 0). Find the resultant gravitational force exerted by the other two objects on the object at the origin. magnitude direction Need Help? Read It

A Block A with mass mĄ rests on a horizontal tabletop, while block B with mass mg hangs from a string of negligible mass that passes over a pulley and attaches to block A, as shown above. The pulley has negligible mass and rotates with negligible friction about its axle. The blocks are at rest due to friction between block A and the tabletop. The coefficient of static friction between block A and the tabletop is u (mu), where u < 1.

The drawing shows two identical systems of objects; each consists of the same three small balls connected by massless rods. In both systems the axis is perpendicular to the page, but it is located at a different place, as shown. The same force of magnitude F is applied to the same ball in each system (see the drawing). The masses of the balls are m₁ = 9.4 kg, m₂ = 6.2 kg, and m3 = 7.8 kg. The magnitude of the force is F = 493 N. (a) For each of the two systems, determine the moment of inertia about the given axis of rotation. (b) Calculate the torque (magnitude and direction) acting on each system. (c) Both systems start from rest, and the direction of the force moves with the system and always points along the 4.00-m rod. What is the angular velocity of each system after 5.79 s? (b) A TB (c) WA WB = i II m₁ Axis 3.00 m 5.00 m System A m₂ 4.00 m m3 m₁ 3.00 m 5.00 m Axis System B m₂ 4.00 m m₂

A 2.0-m-long rod has a density in kilograms per meter A = a + bx ,where a = 1.0 kg/m, b = 1.0 k9/m², and x is the distance from the left end of the rod. The rod rests horizontally with each end supported by a scale. The force exerted by the left scales is 39.2 N 22.9 N 16.3 N 4.0 N 32.6 N

Masses m₂, m₂, m3 and om are connected together as shown in the figure below. All the surfaces are smooth. If m₁ = 3.2kg, m₂ = 2.8kg, m3 = 3.8kg, om = 1.3kg and = 55°, calculate a) the acceleration of the system. b) the normal force between m3 and ōm. 7²1 7122 In+one 183