A 3.85 kg box is suspended from a system of massless wires attached to a ceiling. The first wire makes an angle of 01 = 54.4° with the ceiling, whereas the second wire makes an angle of 02 = 39.0° with the ceiling. T,
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- A 4.25 kg box is suspended from a system of massless wires attached to a ceiling. The first wire makes an angle of ?1=60.8∘ with the ceiling, whereas the second wire makes an angle of ?2=42.6∘ with the ceiling. Determine the magnitudes of tension in the first and second wires; T1 and T2 respectively.A traffic light of mass m = 31 kg is hanging symmetrically by two cables, which make an angle of 25 degrees with the horizontal, while holding the traffic light in place. What is the tension in each cable, as the traffic light hangs stationary.There are two forces on the 1.19 kg box in the overhead view of the figure but only one is shown. For F1 = 15.7 N, a = 14.7 m/s2, and θ = 34.1°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.)
- A picture frame hung against a wall is suspended by two wires attached to its upper corners. If the two wires make the same angle with the vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame?When a 100 N bag of nails hangs motionless from a single vertical strand of rope, how many newtons of tension are exerted in the strand? What if the bag is supported by four vertical strands?A ball of weight 200 N is suspended from two cables, one horizontal and one at a 60° angle, as shown. Which of the following must be true of the tension in the angled cable?A. T > 200 N B. T = 200 N C. T < 200 N
- Two blocks, each of mass m=3.50kg, are hung from the ceiling of an elevator. (a) If the elevator moves with an upward acceleration a of magnitude 1.60m/s 2 , find the tensions T 1 and T 2 in the upper and lower strings. (b) If the strings can withstand a maximum tension of 85.0N, what maximum acceleration can the elevator have before a string breaks.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 θ1 = 35.0°, θ2 = 55.0°, θ3 = 59.0°, m1 = 6.00 kg, and m2 = 11.0 kg.In about 1915, Henry Sincosky of Philadelphia suspended himself from a rafter by gripping the rafter with the thumb of each hand on one side and the fingers on the opposite side. Sincosky’s mass was 79 kg. If the coefficient of static friction between hand and rafter was 0.70, what was the least magnitude of the normal force on the rafter from each thumb or opposite fingers? (After suspending himself, Sincosky chinned himself on the rafter and then moved hand-over-hand along the rafter. If you do not think Sincosky’s grip was remarkable, try to repeat his stunt.)
- Four blocks with masses m1=5.00kg, m2= 5.10kg, m3= 7.00kg, m4= 7.20kg are pulled on a horizontal, frictionless surface by a 33.0 N force that makes a 34 degree angle with the horizontal. What is the magnitude of the tension between m2 and m3 blocks?Logs weighing 1.3 kg and 2.2 kg lie on a flat surface and are connected by a rope that breaks at a force of 20 N. The coefficient of friction between the lighter log and the base is 0.50, and between the heavier log and the base 0.30. With what maximum force can we pull the lighter log so that the string does not break?A 4.50 kg box is suspended from a system of massless wires attached to a ceiling. The first wire makes an angle of θ1=58.4∘ with the ceiling, whereas the second wire makes an angle of θ2=36.6∘ with the ceiling.