The system is released from rest in the position shown. Calculate the tension T in the cord and the acceleration a (positive if to the right, negative if to the left) of the 37-kg block. The small pulley attached to the block has negligible mass and friction. (Suggestion: First establish the kinematic relationship between the accelerations of the two bodies.) H₂ = Hk = μ = 0.49 37 kg 38 kg
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- An empty pail and a 34 kg wooden mass are tied together by a very light string which passes over a massless and frictionless pulley. There is a force of friction between the mass and the table and there is a coefficient of static friction of 0.76 and a coefficient of kinetic friction of 0.46. Water is added to the bucket one drop at a time until the system just begins to move. When the system just begins to move, what will the acceleration be? (Answer to 1 decimal place, use g = 9.8m/s2)The figure shows a system composed of two bodies, of masses mi and m2, connected through an ideal rope that passes through a pulley, also ideal. Both bodies are on two inclined planes, with the same angle of inclination 0, and coefficients of friction 1 and 2. If mi < m2, find the acceleration of the system. XX m₂The systems shown below are in equilibrium with m = 6.60 kg and ? = 25.0°. 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. Four figures each show different orientations of a spring scale connected to various objects. Figure (a): Two objects of mass m are attached to opposite ends of a horizontal spring scale, one on the left end and the other on the right end. The spring scale is positioned at the center of a horizontal tabletop and between two diagonal pulleys which extend outward from the left and right edges of the table. Separate strings are attached to each end of the spring scale and pass over the nearest pulley before suspending an object of mass m beside the table. Figure (b): A diagonal pulley extends outward from the leftmost edge of a horizontal surface. An object of mass m is suspended from a string which passes over the pulley and anchored at the left…
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- two masses are connected by a light string that passing over a frictionless pulley. Mass m1 =3.34kg is on a 50.0-degree incline, and mass m2 =14.2 kg is hanging on the string. the system starts from rest. If the coefficient of the friction between m1 and the incline is 0.878, find the acceleration of the system, in m/s^2.In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that 8₁ = 35.0°, 0₂ = 55.0°, 03 = 60.0°, m₁ = 3.00 kg, and m₂ = 7.00 kg. (Due to the nature of this problem, do not use rounded intermediate values in your calculations including answers submitted in WebAssign.) (a) (b) T₁ T₂ = LN LM T3 NY M = T₁ = T₂ = = T3 = T₁ M₂ 0₁ T₁ 03 T3 z z N N N T2 N N z z N Ts 0₂ T2 m₁ ⓇA 15kg mass on a 20.00 incline is connected to a 25kg mass hanging vertically. The rope and pulley is frictionless and massless.What is the magnitude of the acceleration of each block? What is the tension in the cord?