A 30.6 kg mass (m) is suspended by the cable assembly as shown in the figure. The cables have no mass of their own. The cable to the left (T¡) of the mass makes an angle of 0.00° with the horizontal, and the cable to the right (T2) makes an angle (02) of 36.4°. If the mass is at rest, what is the tension in T each of the cables, T and T,? The acceleration due to gravity T, is g = 9.81 m/s².
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- A small mass, m = 200 grams, hangs vertically from a thin cable that is attached firmly to the ceiling. The thin cable has negligible mass. Calculate the magnitude of the tension, T, in the cable. Also, state the direction of the tension in the cable. T = 1.96 N, acting downward. T = 19.6 N, acting downward. T = 1.96 N, acting upward. T = 19.6 N, acting upward.Find the tension T in the cable in the arrangement (a). Find the magnitude of the force exerted on the stride by the pivot in the arrangement (a). Find the direction of the force exerted in the strut by the pivot in the arrangement (a)Two blocks are connected by a string, as shown in the figure below. The rough inclined surface makes an angle of θ = 27o with the horizontal. The block on the incline has a mass of m1 = 4.8 kg. The hanging block has a mass of m2 = 3.5 kg. The coefficient of kinetic friction between the 4.8 kg block and the incline is μk = 0.19. Suppose the 4.8 kg block is already sliding. Neglect the mass of the string and pulley. Assume the pulley rotates on a frictionless axle. (Insert Image) (1) Find the magnitude and direction of the acceleration of the 4.8 kg block. Does the 4.8 kg block accelerate up or down the incline?(2) Find the tension in the string.
- A mass m is suspended from the ceiling by two strings that each make an angle 6 as shown. What is the magnitude of the tension in each cable?3 ducks are attached to each other by strings and are being pulled by a force of 9.5N. The duck at the front is 625g, the middle is 375g, and the back is 1150g. The coeficcient of friction is 0.15. What is the tension in the strings connecting the ducks?Two squirrels are sitting on the rope as shown. The squirrel at A has a weight of 1.2lb. The squirrel at B found less food this season and has a weight of 1/b. The angles and are equal to 40° and 48° respectively. Determine the tension force in each of the rope segments in segment AC, T₂ in segment AB, and T in segment BD) as well as the angle xx in degrees. 2 3 c Two squirrels are sitting on the rope as shown. The squirrel at A has a weight of 1.2 lb. The squirrel at B found less food this season and has a weight of 1 lb. The angles and are equal to 40° and 48° respectively. Determine the tension force in each of the rope segments (7₁ in segment AC, T2 in segment AB, and T3 in segment BD) as well as the angle a in degrees. a 1 B
- A cord passing over a pulley connects two masses, as shown, where m1 = 3.60 kg and m2 = 6.50 kg. Assume the pulley and surfaces are frictionless, and the cord is massless and does not stretch. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) A triangular structure is oriented such that its base rests upon a horizontal surface. Its left and right sides are of equal length and and each form 35.0° inclines with respect to the base. Rectanglular masses labeled m1 and m2 are positioned, respectively, on the structure's left and right inclines. The two masses are connected by a cord that passes over an upright pulley affixed to structure's apex. (a) What is the acceleration of each block? (Enter the magnitude in m/s2.) m/s2 (b) What is the tension in the cord (in N)? NA block of mass mį = 4.00 kg is put on top of a block of mass mp = 7.00 kg. To cause the top block to slip on the bottom one while the bottom one is held fixed, a horizontal force of at least 15.0 N must be applied to the top block. The assembly of blocks is now placed %3D on a horizontal, frictionless table (see the figure). Find the magnitudes of (a) the maximum horizontal force F that can be applied to the lower block so that the blocks will move together and (b) the resulting acceleration of the blocks. (a) Number i Units (b) Number i Units >The system shown in the figure below is used to lift an object of mass m = 12.5 kg. A constant downward force of magnitude F is applied to the loose end of the rope such that the hanging object moves upward at constant speed. Neglecting the masses of the rope and pulleys, find the following. T T2 m (a) Find the required value of F. (b) Find the tensions 7,, T,, and 7,. (T, indicates the tension in the rope which attaches the pulley to the ceiling.) 7, = N 72 = N (c) Find the work done by the applied force in raising the object a distance of 2.10 m. kJ
- A block having a mass of m = 19.5 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 11° and β = 34°. Find the numeric value of T1 and T2 in newtons.The systems shown below are in equilibrium with m = 8.70 kg and 0 = 32.0°. If the spring scales are calibrated in newtons, what do they read? Ignore the masses of the pulleys and strings and assume the pulleys and the incline are frictionless. m m m a b m m scale in (a): N scale in (b): N scale in (c): scale in (d): NTwo blocks of mass m, = 10 kg and mg = 5 kg are connected by a massless string that passes over a pulley as shown in the figure. The system is in static equilibrium. There is friction between m, and the inclined surface (u.-0.4), Neglect the friction between the string and the pulley. Determine the tension in the string. 10 kg 5.0 kg 37 65.35 N () 147.0 N 98.0 N 49.0 N O 52.3 N