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- A particle of mass 6 kg is placed on a rough plane inclined at an angle a to the horizontal where sin a = 0.8. The coefficient of friction between the particle and the plane is 0.4. An upward force PN actson the particle along a line of greatest slope of the plane. Find the greatest value of PEnter an expression for the magnitude of the force of the bottom-most parcel on the center parcel valid for any value of the vertical acceleration, ay, using only the parameters provided in the paletteA horizontal force of 5 kN is acting on the wedge, as shown in the figure. The coefficient of friction at all rubbing surfaces is 0.25. Find the load W which can be held in position. The weight of block B may be neglected. В A 5 kN 60° 45°
- A block of mass 3.40 kg is pushed up against a wall by a force P that makes an angle of-50.0 angle with the horizontal as shown below. The coemicient of static triction between the block and the wal is 0.241. (a) Determine the possible values for the magnitude of P that allow the block to remain stationary. (If there is no maximum, enter NONE in that answer blank.) Pml- (b) What happens if IPI has a larger value than P O The block sides up the wall, O The block does not side along the wal. O The block sides down the wall. What happens if PI has a smaller value than Pl? O The block slides up the wall. O The block does not slide along the wall. O The block slides down the wall. (c) Repeat parts (a) and (b) assuming the force makes an angle of 15.0 with the horizontal. Determine the possible values for the magnitude of P that allow the block to remain stationary. (f there is no maximum, enter NONE in that answer blank.) ma What happens if PI has a larger value than Pmal? O The block…Assume that the coefficient of friction at the top and bottom surfaces of a box of mass 700 g is one. If a = 135 cm / s and F = 1.9N, what is the coefficient of friction?A block of weight w is suspended from a rope tied to two other ropes at point O. One rope ishorizontally attached to a wall and the other is fastened to the ceiling. The angle betweenceiling and the rope is 60°. What are the tensions in each of the ropes? Assume the weights ofthe ropes and the knots are negligible. If the weight of the block is 100 N, what is the tension inthe ceiling rope?
- A block of mass M is pulled by a force T at an angle theta about the horizontal and moves at constant speed over a rough surface (with friction) .The magnitude of the friction force is:An inextensible cable of negligible mass is used to drag a log on a roughhorizontal surface. The tension in the cable is 850 N and it acts at an angle of 35°to the horizontal. The log is dragged over a distance of 45m. The frictional forceexperienced by the log is 150 N. Calculate the net force acting on the log.A 10kg block resting on the flat frictionless plane is pushed by a force directed force of 20N 60deg S to E . What is the magnitude of normal force acting on the block?
- The base of an automobile jackstand forms an equilateral triangle of side length 12 in. and is centered under the collar A. Model the structure as one with a ball and socket at each joint and determine the force in members BC, BD, and CD. The forces are positive if in tension, negative if in compression. Neglect any horizontal reaction components under the feet B, C, and D. Assume F-700 lb, b-12 in., h-17 in. Answers: BC- i BD= i CD- i lb lb lbA large box of mass 11.4 kg sits on a ramp that makes an angle of 30.1 degrees with the horizontal. The surface of the ramp is rough and the coefficients of static and kinetic friction are given as 0.56 and 0,38, respectively. We exert a force up the ramp (parallel to the ramp surface) so that the box does not move. Calculate the maximum and the minimum magnitude of the force we can exert so that the box does not move. Enter the difference between the maximum and the minimum force values here: Fmax-Fmin (in Newtons). On your paper, show all the forces on free-body diagrams, clearly show your work, your derivation and calculations. Make sure to include your physics-based reasoning.A block of mass m is pulled along a rough horizontal floor by an applied force P as shown. The normal force N is :