A worker pulls a crate of mass, m, via a uniform, massless cable that is attached to the crate at an angle, 0, above the horizontal. The resultant tension in the cable is T. What is the normal force acting on the crate? m Oa. mg - Tcose Ob. mg + Tsine Oc. mg - Tsine O d. mg Oe. Tsine
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- A horse is harnessed to a sled having a mass of 236 kg, including supplies. The horse must exert a force exceeding 1 240 N at an angle of 35.0 in order to get the sled moving. Treat the sled as a point particle, (a) Calculate the normal force on the sled when the magnitude of the applied force is 1 240 N. (b) Find the coefficient of static friction between the sled and the ground beneath it. (c) Find the static friction force when the horse is exerting a force of 6.20 102 N on the sled at the same angle.A block of ice (m = 15.0 kg) with an attached rope is at rest on a frictionless surface. You pull the block with a horizontal force of 95.0 N for 1.54 s. a. Determine the magnitude of each force acting on the block of ice while you are pulling. b. With what speed is the ice moving after you are finished pulling?Measuring coefficients of friction A coin is placed near one edge of a book lying on a table, and that edge of the book is lifted until the coin just slips down the incline as shown in Figure P4.82. The angle of the incline, C, called the critical angle, is measured. (a) Draw a free-body diagram for the coin when it is on the verge of slipping and identify all forces acting on it. Your free-body diagram should include a force of static friction acting up the incline. (b) Is the magnitude of the friction force equal to sn for angles less than C? Explain. What can you definitely say about the magnitude of the friction force for any angle c? (c) Show that the coefficient of static friction is given by s = tan c. (d) Once the coin starts to slide down the incline, the angle can be adjusted to a new value c c such that the coin moves down the incline with constant speed. How does observation enable you to obtain the coefficient of kinetic friction? Figure P4.82
- Consider the baby being weighed in Figure 4.34. (a) What is the mass of the child and basket if a scale reading of 55 N is observed? (b) What is the tension T1 in the cord attaching the baby to the scale? (c) What is the tension T2 in the cord attaching the scale to the ceiling, if the scale has a mass of 0.500 kg? (d) Draw a sketch of the situation indicating the system of interest used to solve each part. The masses of the cords are negligible.A crate of mass 100.0 kg rests on a rough surface inclined at an angle of 37.0with the horizontal. A massless rope to which a force can be applied parallel to the surface is attached to the crate and leads to the top of the incline. In its present state, the crate is just ready to slip and start to move down the plane. The coefficient of friction is 80of that for the static case. (a) What is the coefficient of static friction? (b) What is the maximum force that can be applied upward along the plane on the rope and not move the block? (c) With a slightly greater applied force, the block will slide up the plane. Once it begins to move, what is its acceleration and what reduced force is necessary to keep it moving upward at constant speed? (d) If the block is given a slight nudge to get it started down the plane, what will be its acceleration in that direction? (e) Once the block begins to slide downward, what upward force on the rope is required to keep the block from accelerating downward?A worker pulls a crate of mass, m, via a uniform, massless cable that is attached to the crate at an angle, θ, above the horizontal. The resultant tension in the cable is T. What is the normal force acting on the crate? a. mg b. mg + Tsinθ c. mg - Tcosθ d. mg - Tsinθ e. Tsinθ
- A box is pulled at a constant speed, v, along a horizontal surface with a kinetic coefficient of friction less than 1. The person pulls with a constant horizontal force, F, on the box. The constant horizontal force the person pulls with: A. Has the same size as the weight of the box. B. Is greater than the weight of the box. C. Is less than the weight of the box. D. Is greater than the friction force.8. A block is at rest on a rough inclined plane and is connected to an object with the same mass as shown. The rope may be considered massless; and the pulley may be considered frictionless. The coeffi- cient of static friction between the block and the plane is us; and the coefficient of kinetic friction is k 0 A. g D. g - Hk sin(0) m a. What is the magnitude of the static frictional force acting on the block? B.m g [1 - sin(0)] C. mg D. mg cos(0) B. g - Hk cos(0) A. m g sin(0) E. mg [1 - cos(0)] b. If the rope were cut between the block and the pulley, what would be the magnitude of the acceleration of the block down the plane? C. g [sin(0) - μ cos(0)] sin(0)] c. If the mass of the suspended object is doubled, what will be the acceleration of the block up the plane? B. g [2 tan(0) - uk sin(0)] D. 2g [μ sin(0) - cos(0)] m E. g [tan (0) A. g [2 - μk sin(0)] C. g [2 cos(0) - μ sin(0)] E. g [2 sin(0) Hk Cos (0)]. -1. You are trying to lift a box of weight W' vertically off the floor. You apply a force, Fup, on the box trying to lift it but the box does not move. If N is the normal force on the block from the floor while you are trying to lift it, which relationship below must be true? a. N= W b. N+ Fup W d. N+ Fup = W
- 1. Steve pushes a box across a level floor with a constant horizontal force. This causes the box to move at a constant speed, v. The force from Steve: a. has the same magnitude as the weight of the box. b. equals the sum of the box's weight and the total frictional forces opposing the box's motion. c. has the same magnitude as the frictional forces opposing the box's motion. d. has greater magnitude than the frictional forces opposing the box's motion. e. has greater magnitude than the weight of the box. 2. Steve now doubles the force he applies to th box from the previous problem. Which of the following is true? a. The box will move at double the previous speed. b. The box will move with a continuously increasing speed. c. The box will increase speed for a while, then move at a constant speed. d. The box will continue to move at the same speed for a while, then continually increase speed. e. The box will move at a greater constant speed, but not necessarily double the speed.8. An object is pulled across a rough horizontal surface with an applied force of 300 N [40o below the horizontal]. The applied force is slowly rotated down toward the horizontal, decreasing the 40o angle. What will happen to the force of friction acting on the object and the acceleration? a. Both increase.b. Both decrease.c. Friction decreases and acceleration increases.d. Friction increases and acceleration decreases.e. None of the above statements are accurate.1:06 طائرات ب.pdf University of Technology Mechanical Department 2020/2021 Date :4/3/2021 Time :30 minutes Friction Ass.Prof.Dr.Enass H.Flaieh Block A weighting 1000N rests over block B which weights 2000N as shown in the figure. Block A is tied to the wall with horizontal string. If the coefficient of friction between blocks A and B is 0.25 and A between B and the floor is 0.333. What should be the value of the horizontal force P to move the block B.