6. A block of mass M hangs from a uniform rope of length L and mass m. Find an expression for the tension in the rope as a function of the distance y measured vertically downward from the top of the rope. y=L

A boy has filled his toy box with all his favorite toys and it trying to drag it across the floor. The toy box has a mass of 35 kg (including the toys) and the child pulls with a force of 24 N at an angle of 30 degrees above horizontal (he is pulling mostly horizontally, but some of the force is pulling up). How will the normal force between the box and the ground change when the boy starts pulling?

A bag of cement weighing 525 N hangs in equilibrium from three wires as suggested in the figure below. Two of the wires make angles 0, = 62.0° and 0, = 43.0° with the horizontal. Assuming the system is in equilibrium, find the tensions T,, T,, and T, in the wires. 269.42 T = Consider the net force at the point where the three wires come together. What is the acceleration of this point? N 420.98 Ta = The horizontal component of your T, is not equal to the horizontal component of your T,, so the object would be accelerating horizontally. N T3 525 N T T2 T3 Need Help? Watch It Read It

In the figure shown, the mass of the crate is 89 kg, θ1 = 38°, and θ2 = 27° (a)  What is the tension of the left cable in N?  T1 =        N (b)  What is the tension in the right cable in N?  T2 =        N

A wracking ball is suspended below two cables each at an angle with the horizontal. The left cable has tension T1 and angle 42 degrees with the horizontal. The right cable has tension T2 and angle 26 degrees with the horizontal. The Wracking ball has mass 120 kg. Find the magnitude of tension T1. 1 T2

Three cables are used to tie the balloon shown in Figure. Determine the magnitude of the vertical force (P) exerted by the balloon at A, knowing that the tension in cable AD is 954 N. y1 = 4.4 m y2 = 2.2 m x1 = 4.2 m x2 = 3 m z = 6 m

A projectile has undergone an elastic one-dimensional collision with an initially stationary target, along an x axis. The figure below is a graph of position versus time for the projectile and target, before and after the collision. (Two line segments are parallel to the time axis.) Which is true about the masses of the projectile and target? 4 O the projectile's mass is greater O the target's mass is greater O the masses are equal

Find the magnitude of the tension in each supporting cable shown below. In each case, the weight of the suspended body is 50 N and the masses of the cables are negligible. T₁ 45° T3 (a) T₂ T₁ 60° T3 (b) 45° T2

A traffic light weighing 90.3 newtons is hung from two cables as shown in the attached figure. Determine the magnitude of the tension force applied by the weight of the traffic light on each of the cables. Write the answer in newtons using three significant figures.

If the coefficient of static friction between all surfaces in contact is µg = 0.3 and a determine force P that must be applied to wedge A in order to lift the block weighing 500 N. The weight of wedge A is negligible compared to the block. B P