4. In the figure we see two blocks connected by a string and tied to a wall, with 8 = 34.0°. The mass of the lower block is m = 1.65 kg; the mass of the upper block is 6.00 kg. Find the tension in the string that is tied to the wall. N 16 celló certo ceiló ceilo ceil6 coilo ceil6 ceiló ceilo
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We are given 2 blocks. We are given their masses. We are given angle of string tied with wall. The system is in equilibrium. We apply equilibrium conditions along vertical. We hence find tension in the string tied to wall.
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- 6. A car of mass M₁ = 3.0 kg (and frictionless wheels) is connected by a light string over a frictionless pulley to a block of mass M₂ = 1.0 kg. The car is released, from rest, in the configuration shown below, with the bottom of the block a certain height above the floor. What is the tension in the string during the time when the car is accelerating to the right and the block is accelerating toward the floor? M₁ M₂ hA stack of two crates is being accelerated upwards by two cables. The cables are directly attached to crate 1 and the tension in each cable is 3248 N. You may assume that the masses of the cables are negligible compared to the masses of the crates. The acceleration of the crates is? bottom crate crate 1 is 109 kg. the top crate is 248 kg.You want to hang an object from the ceiling of an elevator that has a maximum acceleration of 4.0 m/s2. a) If you hang the object with a fishing line that supports 45 N of force, what is the maximum mass the object can have if the line is not to break? Please answer in units of kg.
- 1. Three blocks, with masses m₁: 5.60 kg, m2 = 5.10 kg, and m3 7.80 kg, are pulled on a horizontal frictionless surface by a 19.0 N force that makes a 28.0° angle (0) with the horizontal (see figure). What is the magnitude of the tension between the m₁ and m2 blocks? N m3 = m₂ m₁ FThree boxes are pulled along a horizontal frictionless floor by a constant horizontal pull P. The boxes are connected by very light horizontal strings having tensions T1 and T2 as shown in the figure. Which of the following statements about the tensions is correct? T₂ T₁ 10 20 N N 100 N O A.T1 > T2 OB.T1 = P OC. T2 = P O D. T2 > T1 PSphere A is attached to the ceiling of an elevator by a string. A second sphere is attached to the first one by a second string. Both strings are of negligible mass. Here m₁ = m₂ = m = 3.67 kg. = = T₁ m₁ (a) The elevator starts from rest and accelerates downward with a = 1.35 m/s². What are the tensions in the two strings in newtons? T₁ N N T2 = T₂ m₂ (b) If the elevator moves upward instead with the same acceleration what will be the tension in the two strings in newtons? Т1 T2 N N (c) The maximum tension the two strings can withstand is 89.8 N. What maximum upward acceleration (in m/s2) can the elevator have without having one of the strings break? m/s²
- A cardboard box rests on the floor of an elevator. The box has a mass m = 2.75 kg and the elevator has an upward acceleration of a. a. Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, given that up is the positive y-direction. Your answer should be in terms of FN, m, and g. b. Write an expression for the normal force, FN, that the block experiences in terms of the elevator's acceleration, the block's mass, and the acceleration of gravity. c. If the elevator's acceleration has a magnitude of g in the downward direction, what would the normal force, FN1 be in Newtons? d.If the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force FN2 be in Newtons?10.0 kg block on a table is connected by a string to a 63 kg mass, which is hanging over the edge of the table. Assuming that frictional forces may be neglected, what is the magnitude of acceleration of the 10.0 kg block when the other block is released? (See the figure.) |10.0 kg ... Table 63 kg A 8.1 m/s^2 B 7.5 m/s^2 8.5 m/s^2 D 6.9 m/s^2Two masses m1=5 Kg and m2=12 Kg are connected with string and pulled with a force F=25 N that makes an angle of 53° with a smooth horizontal surface as shown in the figure. Find the tension in the string in a unit of Newton. F A. 6.258 B. 8.85 m2 m1 0 C. 2213 D. None E. 4.425