A block is resting on an incline of slope 3:4. It is subjected to a force T=370 N on a slope of 5:12. Determine the x and y component of a force T and find the components of force T parallel and perpendicular to the incline
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- In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force ₁ of magnitude 207 N, and Charles pulls with force Fc of magnitude 188 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? 142° Alex Charles Betty (a) Number i (b) Number i Units Units <A block of mass M1 = 3 kg rests on top of another block of mass M2 = 5 kg. As shown in the figure, the top block is connected by a cord to a wall at left. The bottom block rests on a frictionless inclined plane of angle theta = 20o and has a force F applied to it down the plane. If the minimum force for which the bottom block will begin to slide has magnitude F = 2.5 N, what is the coefficient of static friction (us) between the two blocks?Find the magnitude and direction of the following concurrent forces A= (10.0i + 9.0j), B = (-15.0i - 8.0j) and C = F = (-15.0i + 10.0j).
- A block of mass m t = 4.0 kg is put on top of a block of mass m b = 5.0 kg. To cause the top block to slip on the bottom one while the bottom one is held fixed, a horizontal force of at least 12 N must be applied to the top block (not pictured). The assembly of blocks is now placed on a horizontal, frictionless table. Find the magnitudes of (a) the maximum horizontal force F that can be applied to the lower block so that the blocks will move together and (b) the resulting acceleration of the blocks.Can you solve this with a detailed explanationIn a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 214 N, and Charles pulls with force F c of magnitude 183 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 145° Betty (a) Number i Units (b) Number i Units >A horse is harnessed to a sled having a mass of 211 kg, including supplies. The horse must exert a force exceeding 1200 N at an angle of 38.3° (above the horizontal) in order to get the sled moving. Treat the sled as a point particle. (a) Calculate the normal force (in N) on the sled when the magnitude of the applied force is 1200 N. (Enter the magnitude.) N (b) Find the coefficient of static friction between the sled and the ground beneath it. (c) Find the static friction force (in N) when the horse is exerting a force of 6.00 ✕ 102 N on the sled at the same angle. (Enter the magnitude.)
- A crate sits on a wooden horizontal surface (a wooden floor). The figure shows a top view of this looking down onto the crate (gravity would be acting into the page). Man one and man two apply forces F1 and F2, at angles of θ1 and θ2 respectively, with the goal of moving the crate in the x-direction. A resultant force of Fr = 30.5 lbs in the x-direction is required to accomplish this. All of the forces are in the xy plane. If man one applies a force of F1 = 21 lbs at an angle of θ1 = 16° from the positive x-axis, complete the following steps to determine the magnitude and angle of the force man two must apply. c) Combine these two equations to develop an expression for tan(θ2) in terms of Fr, F1, F2, and θ1. Remember that the crate does not move along the y-direction. d)Solve numerically for the value of θ2 in degrees. e)Using this value for θ2 and other known values, solve numerically for the value of F2 in lbs.In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force É A of magnitude 222 N, and Charles pulls with force magnitude 188 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the c of direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 140° Betty (a) Number i Units (b) Number i UnitsThe force exerted by the wind on the sails of a sailboat is F sailboat = 435 N to the north. The water exerts a force of F (keel) = 245 N to the east. If the ship (including its crew) has a mass of 355 kg, what is the magnitude and direction of its acceleration?