m₁ 30° m2 60° Two blocks of masses m1 = 6 kg and m2 = 2 kg are on either side of the wedge shown in the figure above. Find the magnitude of the acceleration and the tension in the rope. Ignore friction and the pulley.
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- 5N Knot 120° 3N 12. The figure above shows three ropes tied together in a knot. One of your friends pulls on a rope with a force of 3 Newtons and another pulls on a second rope with a force of 5 Newtons. How hard and in what direction must you pull on the third rope to keep the knot from moving? (Hint: If you don't want the knot to move, the net force must be zero.)The crate A weighs 780 lb. Between all contacting surfaces, μs = 0.34 and μk = 0.29. Neglect the weights of the wedges. What force F is required to move A to the right at a constant rate? Wedge angle is 6 degrees.Two packing crates of masses m₁ = 10.0 kg and m₂ = 7.10 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 7.10-kg crate lies on a smooth incline of angle 41.0°. Find the following. m₁ m₂ 8 (a) the acceleration of the 7.10-kg crate 4.123 X m/s² (up the incline) (b) the tension in the string N
- A block of mass 50.0 kg slides at uniform speed down a plane inclined at 12.0° to the horizontal. What is the coefficient of friction between the surfaces in contact? What force parallel to the plane is required to move the block at uniform speed up the plane?A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m₁ Ө = 49.0°. m1 m2 0 (a) What are the magnitude of acceleration (in m/s2) of the block and sphere? m/s² (b) What is the tension (in N) in the cord? (Enter the magnitude.) N = (c) What is the speed (in m/s) of each object 1.50 s after being released from rest? m/s = 2.00 kg, m2 = 4.95 kg, and (d) What If? If the incline under m₂ is rough, what is the minimum value of the coefficient of static friction μ for which the system will not move? MsAs seen in the figure, two objects are connected by a light string that passes over a pulley. Assuming the pulley and incline are frictionless, find the tension in the string. m1 =4 kg , m2 = 10 kg and θ = 480.
- M 30° The pulley and all surfaces are frictionless. Suppose both blocks are made of solid gold. In addition, each block has a mass of 2.08 kg. Find the tension (in N) in the connecting the two gold blocks.A 126 kg crate is sitting at the top of a ramp, which is inclined at an angle of 19 degrees with respect to the horizontal. The crate is a height 0.71 m from the ground, measured vertically from the ground to the crate. Someone gives the crate a quick shove to get it moving, after which it slides down the ramp without any further assistance. The coefficient of kinetic friction between the crate and the ramp is ls = 0.23. How much time (in seconds) does it take for the crate to get to the base of the ramp?The steel I-beam in the drawing has a weight of 1.51 × 103 N and is being lifted at a constant velocity. What is the tension in each cable attached to its ends?