Three identical blocks, each of mass 0.6 kg, are connected by light strings as shown. Assume that they lie on a smooth horizontal surface and are observed to have an acceleration of 4.0 m/s² under the action of a force F. Calculate the two tensions. F
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- I 00LLJ408 - Go.. Question Info and Solutions Blocks A and B of mass 5 kg and 10 kg respectively are placed on a Smooth inclined plane of Inclination 30, as shown. Block A and B are subjected to forces 5 N And 50 N respectively along the incline, as shown. The coefficient of friction between A andBis 0.50 find the frictional force between A and B in N is: (g= 10 ms SOH 300 Options Solution Fs=Static frictional force umg cos 30 (0.5) (5) (10) cos 30 21.6 N Let a be the acceleration of both the blocks along 5.27 PMA 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 29-kilogram concrete block A is kept from moving down the plane inclined at an angle e from the horizontal by a 13-kilogram metal ball B attached to the block by a cable wire through a pulley as shown below: Find e. A В
- An endless chain of weight W rests in the form of a circular band round a smooth vertical cone which has its vertex upwards. Find the tension in the chain due to its weight, assuming the vertical angle of the cone to be 2a.A model airplane of mass 0.3 kg is attachedto a horizontal string and flies in a horizontalcircle of radius 5.9 m, making 1.6 revolutionsevery 4 s. (The weight of the plane is balancedby the upward “lift” force of the air on thewings of the plane.)The accelaration due to the gravity is 9.81m/s2 Find the tension in the string.Answer in units of N.A horizontal wire holds asolid uniform ball of mass m in placeon a tilted ramp that rises 35.0° abovethe horizontal. The surface of this rampis perfectly smooth, and the wire is directedaway from the center of the ball. (a) Draw a free-body diagramof the ball. (b) How hard does thesurface of the ramp push on the ball?(c) What is the tension in the wire?
- A 485N block is held in horizontal position as shown by a wedge at B. If the coefficient of friction between the block & the wedge is 0.25 and that between the wedge & the floor is 0.3, determine the force needed to pull out the wedge.A horizontal nire holds a solid uniform ball of mass (m) in place on a tilted ramp that rises 35.0° above the harizontal. The Surface of this ramp is perfectly smooth, and the wire is directed away from the cen ter of the ball. (1.) Draw a free- body diagram of the ball. (2.) How hard does the surface of the ramp push on the ball? 35.0°A manual roller of weight mg = 337.5 N is pushed with a force 182.8N at an angle 0, such that sin(e) = 0.4, with the horizontal direction. What is the force exerted by the floor on the box? F cose F sine mg
- The homogeneous 18-kg pulley is attached to the bar ABC with a pin at B. The mass of the bar is negligible. The cable running over the pulley carries a tension of 600 N. Determine the magnitudes of the support reactions at A and C. Angle is 40 degrees.A circular disc bears against a frame structure and a wall, as shown inthe figure. All contacts with the disc are frictionless. The frame structurehas pin supports at A and B; there is an internal pin connection at C. If themaximum allowable reaction force at either of the pin supports is 8 kN, what isthe maximum allowable weight of the disk?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 lb