m2 사= 1.0 %3D 사=0.50 30 °

As shown, the pulleys and the cord are light, all surfaces are frictionless, and the cord does not stretch. (a) How does the acceleration of block 1 compare with the acceleration of block 2? Explain your reasoning. (b) Themass of block 2 is 1.30 kg. Find its acceleration as it depends on the mass m1 of block 1. (c) What If? What does the result of part (b) predict if m1 is very much less than 1.30 kg? (d) What does the result of part (b) predict if m1 approaches infinity? (e) In this last case, what is the tension in the cord? (f) Could you anticipate the answers to parts (c), (d), and (e) without first doing part (b)? Explain.

A block of mass m = 5.3 kg is pulled up a 8 = 24° incline as in the figure below with a force of magnitude F = 38 N. F m i (a) Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration.) m/s² (b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.11. (Give the magnitude of the acceleration.) m/s²

Assume the three blocks (m₁ = 1.0 kg, m₂ = 2.0 kg, and m3 = 2.5 kg) portrayed in the figure below move on a frictionless surface and a force F = 46 N acts as shown on the 2.5-kg block. F my m₂ m² (a) Determine the acceleration given this system. m/s² (to the right) (b) Determine the tension in the cord connecting the 2.5-kg and the 1.0-kg blocks. N (c) Determine the force exerted by the 1.0-kg block on the 2.0-kg block. N

Assume the three blocks (m1= 1.0 kg, m2 = 2.0 kg,, and m3 = 5 kg) portrayed in the figure below move on a frictionless surface and a force F = 48 N acts as shown on the 3.5 kg block. Determine the acceleration given this system (in m/s2to the right). Determine the tension in the cord connecting the 5kg and the 1.0 kg blocks (in N). Determine the force exerted by the 1.0 kg block on the 2.0 kg block (in N). What If?How would your answers to parts (a) and (b) of this problem change if the 0 kg block was now stacked on top of the 1.0 kg block? Assume that the 2.0 kg block sticks to and does not slide on the 1.0 kg block when the system is accelerated. (Enter the acceleration in m/s2 to the right and the tension in N.)

Masses m1 and m2 are arranged as shown in the figure below.  The pulley attached to m2 is free to rise and fall.  If m1 = 2.0 kg and m2 = 6.0 kg, determine the acceleration of m2.  Use a downward positive sign convention.

A pulley and rope hang two people. A person pulls downward on the leg of person number 2 with a force of 400 N. (so person one accelerates up and person 2 accelerates down). Mass of person 1 = 50.0 kg & Mass of person 2=60.0 kg. Find the acceleration of the system and the tension in the rope.

27. Assume that the three blocks portrayed in Figure P4.27 move on a frictionless surface and that a 42-N force acts as shown on the 3.0-kg block. Determine (a) the accel- eration given this system, (b) the tension in the cord connecting the 3.0-kg and the 1.0-kg blocks, and (c) the force exerted by the 1.0-kg block on the 2.0-kg block. 42 N 3.0 kg 1.0 kg 2.0 kg

Using the force table, components of a vector can be found experimentally by suspending masses from two orthogonal strings which oppose the mass and string representing the vector in question. If 155 g is suspended at 210, what masses must be suspended at 0 and 90 to balance this force?

A moving box with a mass of 50 kg is pushed across a rough floor with a force of 100 N, as shown below. The box accelerates at a rate of 0.21 m/s/s to the right. What is the value of the coefficient of friction if the friction on the box is 89.5