A 50 kg 1.5- meter- long bench is attached to the ground. A person with m...
Consider a person standing on a ladder. The ladder is 4 m long, has a mass mı 25 kg, and is leaning against the wall at an angle θ = 70°. The person has a mass m,-75 kg, and their center of mass is located 2.5 m above the ground. a) Draw a free-body diagram, modeling the ladder and person together as one object (i.e. the person will exist in the diagram only as a weight pressing on the ladder)....
A 0.20-kg shuffleboard puck leaves a player's hand with a speed of 1.5 m/s and slides to a stop in 3.0 seconds. a) Draw a free-body diagram for the sliding puck. b) Find the magnitudes of all forces in your diagram.
A precision machine is placed on a work bench. The ground vibration transmitted by a nearby internal combustion engine causes the base (bench) to vibrate at a frequency of 25 Hz with an amplitude of 0.6 cm. Design an isolation system to prevent ground motion to be transmitted to the precision machine, and at least 85% of vibration isolation must be achieved. If the machine has a mass of 48 kg, and the damper in the isolator has a damping...
A person pushes a 100-kg box along a frictionless horizontal surface. The person applies a force of 10 N at an angle of 30o below the +x-axis. a) Draw a free body diagram. b) Write down the equations for the forces in the x- and y-directions. c) Find the acceleration of the box.
Draw a free-body diagram for a 70-kg person standing in an elevator carrying a 15-kg backpack (do not consider the backpack a part of the person!). (a) if the elevator is not moving, and (b) if the elevator is accelerating downwards at 2m/s2. In each case, what is the magnitude of the normal force exerted on the person by the floor?
Figure 5 shows a piece of fitness equipment installed in a park. The horizontal part of the equipment can be treated as a simply supported beam with its self-weight acting as a uniformly distributed load (UDL) of 58.86 N m A 70.0kg person standing at the centre of the beam can be considered as a point load, F. The length of the beam is 3.00 m, with the symmetric supports 2.40 m apart. 70 kg point load 3,00 m 2.40...
A uniform plank that is 4.00 m long has a mass of 7.00 kg. The plank is supported by two sawhorses, one 3.56 m from the right end of the plank and the other 1.50 m from the right end of the plank. A cat of mass 2.63 kg is sitting on the plank at a distance of 1.75 m from the right end of the plank. (a) Draw a free body diagram showing the four forces acting ON the...
A person carries a plank of wood 1.5 m long with one hand pushing down on it at one end with a force F1 and the other hand holding it up at 46 cm from the end of the plank with force F2. If the plank has a mass of 19 kg and its center of gravity is at the middle of the plank, what are the magnitudes of the forces F1 and F2? (The distance of 46 cm is...
A homogenous board of 5.0 m in length and 260 N in weight is
lied horizontally on two supports. The left support is located at
the left end of the board and the right support is located at 1 m
from the right end of the board. A person with a mass of 50 kg
stand on the board at a distance of 0.9 m from the right end of the
board. a) Draw the free body diagram of the...
You are standing in an elevator as it begins to accelerate downwards at 1.5 m/s^2. a) Sketch a force identification diagram, including all the forces acting on you inside the elevator. b) Sketch a free body diagram including the direction of the forces and properties of the motion you experience. c) Sum the forces acting on you and use Newton's second law to help calculate your apparent weight (which results from the change in the contact force that you experience...