A pulley and a rope is used to lower a body of mass m kg down and man holds down the other end of the rope as shown in Fig.2. What is the force that is required to prevent the downward movement of the mass? Clearly show the Free Body Diagram in the solution.
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- The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.1. The PASCO human arm model is configured such that the cord representing the bicep is perfectly vertical and the forearm is at 90° (in the figure to the right, the cord is not quite vertical). A mass of 100 g is attached to the hand. Draw a free-body diagram on the figure to the right showing all forces which act on the forearm. The force of the bicep F on the arm The force of the humerus FH on the arm The weight of the forearm W The mass in the hand Wm 100 g Be careful to draw the force vectors with tails beginning at the point where the force is actually applied to the forearm. 2. Consider the free body diagram below. Determine the perpendicular component F̟ of the force F exerted by the biceps brachii on the forearm. Use the fact that cos 0 = H/B to write this component directly in terms of the humerus length H and the biceps length B. H 3. If the forearm is in equilibrium, then there is no angular acceleration and therefore the sum of the torques applied to the forearm must be…A uniform ladder 8 meters long and weighing 350 N rest against a smooth vertical wall at an angle of 30° to the wall. A 700-N man stands 6 meters up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping. please use the end at the top as the reference point.
- One end of a uniform 2.60m rod with a mass of 38.0kg is supported by a cable connecting one end to the wall so that the cable makes an angle of 42.0° with respect to the rod. The other end rests against the vertical wall, where it is held in place by friction so that the rod is perfectly horizontal. A sign with an unknown mass is hung from the rod 1.90m from the wall so that wall exerts a normal force of 1790N on the rod in the positive x-direction. What is the mass of the sign in kilograms?The boxes are at rest. The pulley is massless. Fpull makes an angle 0 with respect to the incline. (i) Draw free body diagrams for m, and m, for the situation outlined in part (ii). (ii) What maximum force, Foull, Can you apply to m, and have it remain at rest? In terms of the given information. Just give the equation (or equations) needed to solve for the force. Do not simplify or isolate for Fpull, but make sure it is the only unknown. pull Given information: B (angle of incline with horizontal) e (angle Fpull makes with incline) m, (mass of box 1) m2 (mass of box 2) H (distance m, is above the ground) • H, (static friction coefficient, incline and box 1) He (kinetic friction coefficient, incline and box 1) m1 m2A 30kg mass is tied to a uniform rod whose mass and length are 80-kg and 8-m, as shown below. The rod is attached to the floor via a hinge and makes an angle of 70° relative to the ground; a massless string is also attached to the rod at the ¼ point of the rod and makes an angle of 20° relative to the horizontal. What tension must be provided by the rope so that the system remains in stationary? If at some point the string breaks, what will be the angular acceleration of the system the instant that the string breaks?
- 1. A 25-kg box is attached to two light ropes and is being pulled in a frictionless, horizontal floor. The two forces pulling the box is given by: Fjis 15 N due east, and F,is 10 N due north. A. What are the forces acting on the box? Identify whether contact or noncontact force. B. Identify the action-reaction pairs. C. What is the acceleration of the box?A 3 long board of mass 183-g has a fulcrum placed 0.6-m from its left side. When a mass, M is be placed 0.2-m to the left of the fulcrum, the board is in rotational equilibrium (i.e. balanced). What normal force (in Newtons) acts on the fulcrum?A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough horizontal ground and the other end against a smooth vertical wall. The ladder is indined 65°. The coefficient of friction, H, between the ladder and the ground is 0.35. A woman of mass 65 kg is slowly dimbing up the ladder. She wants to know how far up the ladder she can dimb safely. Drawa diagramshowing all the force adting on the ladder when the woman is x metres fromthe foot of the ladder. (a) (b) Find the reaction of the ground on the ladder. (c) Show that the reaction of the wall on the ladder is less than 33.25g By taking moments about the base of the ladder, find how far up th ladder she an dimb safely. (d)
- A block is being pushed on a flat surface of magnitude 45N. The force of friction on the brick is 13 N. that mass of the block is 11kg. A draw a free body diagram B what is the net force acting on the block C what is the acceleration of the block?A 6-m long ladder has a mass of 13 kg., and its center of gravity is 2.4 m from the bottom along the ladder. The ladder is resting on a 5° upward sloping floor at A and on a wall inclined to the right at 5° from the vertical at B, so that it makes an angle of 60° with the horizontal. How far up along the ladder can a 78-kg man climb before the ladder is on the verge of slipping? The angle of friction at all contact surfaces is 15°. Also determine the total reaction at A and B in Newton. Note: Point A is at the left of point B.Q2: A curved path has banked angle 12° and 30 m radius of rotation was designed for four-wheeled Trolley of total mass 2500 kg to move on track ofr 1 m gauge at 35 km/hr. For this vehicle all wheels have an external diameter of 0.5 m and each pair of axle weight is 1800 N and radius of gyration of 0.2 m. The center of gravity is located 1 m above the groun level. Within this mechanism, determine the limited pressure on each rail.