Review Concept Simulation 9.2 and Conceptual Example 7 as background material for this problem. A jet transport has a weight of 2.06 x 106 N and is at rest on the runway. The two rear wheels are 15.0 m behind the front wheel, and the plane's center of gravity is 12.7 m behind the front wheel. Determine the normal force exerted by the ground on (a) the front wheel and on (b) each of the two rear wheels. (a) Number i (b) Number i Units Units

It is sometimes important to determine the location of a person’s center of gravity(which coincides with the center of mass because the gravitational force is uniform at the scale of the human body). This can be done with the arrangement shown intheFigure below. A light (negligible mass) plank rests on two scales that read Fg1=380 N and Fg2=320 N. The scales are separated by a distance of 2.00 m. How far from the woman’s feet is her center of gravity?

Problem 5: A 2.0 kg block, lying on a smooth table, is connected to another 5.0 kg block by means of a weightless cord passing over, without slipping, a cylindrical pulley of 2.0 kg mass and 10.0 cm radius placed at the edge of the table. The system is released from rest at t = 0. Consider g=9.8 m/s2. (a) In 0.3s the 5.0 kg block will drop by ________ (b) The tension in the part of cord connected horizontally to the 2.0 kg block is ________

A 68 kg man is in the prone position while during pushups. His feet and hands are 95 cm and 42 cm away respectively from his center of mass. What is the normal force exerted by on each (a) hand and (b) foot?

A wheel of radius 0.269 m, which we can model as a thin disk, is mounted on a frictionless horizontal axis. The mass of the wheel is 2.44 kg. A massless cord wrapped around the wheel is attached to a block of 4.16 kg that slides on a horizontal frictionless surface. If a horizontal force P with a magnitude of 10.1 N is applied to the block as shown below. If the wheel and block start at rest, and the block is moved through a displacement of 2.60 m what is the final angular velocity of the wheel in rad/s, assuming the cord does not slip. P

A person is pushing a fully loaded 27.50 kg wheelbarrow at constant velocity along a plank that makes an angle a = 37.0° with the horizontal. The load is distributed such that the center of mass of the wheelbarrow is exactly halfway along its length L. What is the magnitude of the total force F, the person must apply so that the wheelbarrow is parallel to that plank? You may neglect the radius of the wheel in your analysis. The gravitational acceleration is g = 9.81 m/s². F =

The figure shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 88.2 N on the wall to which it is attached. The tensions in the shorter cords are T₁ = 69.1 N, T₂ = 40.5 N. and T3 = 6.76 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Units

Item 9 A garage door is mounted on an overhead rail (Figure 1). The wheels at A and B have rusted so that they do not roll, but rather slide along the track. The coefficient of kinetic friction is 0.54. The distance between the wheels is 2.00 m, and each is 0.50 m from the vertical sides of the door. The door is uniform and weighs 900 N. It is pushed to the left at constant speed by a horizontal force F, that is applied as shown in the figure. Figure B k A K 2.00 m -3.00 m h F 1 of 1 If the distance his 1.60 m, what is the vertical component of the force exerted on the wheel A by the track? Express your answer to two significant figures and include the appropriate units. μA ? nA = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B If the distance h is 1.60 m, what is the vertical component of the force exerted on the wheel B by the track? Express your answer with the appropriate units. μÅ ? nB = Value Units Submit Request Answer Part…

A fence post of mass m = 8 kg supports a fence with three lengths of barbed wire. The bottom wire is a distance d = 0.35 m from the ground and each wire is a distance 0.35 m above the previous one. Each of these three wires has the tension on it. For this problem, assume that the force exerted by these wires is purely horizontal. An additional guy wire is used to keep the pole upright with a tension of Fa = 490 N. The guy wire attaches to the post at a point h = 0.86 m above the ground and makes an angle of θ = 45 with respect to the horizontal. Write an expression for the tension in any one of the three fence wires.  What is the normal force that the ground exerts upward on the post?

Part of riding a bicycle involves leaning at the correct angle when making a turn; the first figure in the image carousel shows a rider leaning the bicycle at an angle θ from the vertical. To be stable, the net force exerted by the ground where it contacts the tire must be on a line passing through the center of gravity. The forces have been summarized with a free-body diagram, as seen in the second figure in the image carousel. The ground exerts a normal force which is equal in magnitude to the combined weight of the bicycle and the rider. The ground additionally exerts a force due to static friction which is parallel to the ground, causing the bicycle to move in a circle. a. Enter an equation for the tangent of an angle between the bicycle and the vertical terms of the speed of the bicycle, v, the radius of the curvature of the turn, r, and the acceleration due to gravity, g b. Calculate θ in degrees for a turn taken at 9.52 m/s with a radius of curvature 43.3 m