e adjoining figure, two blocks of masses 3 kg and 5 kg are hung from an 80-cm stick hose mass gligible. At what distance from the left end should a rope be attached if the stick is to remain zontal when suspended from the rope? 3 kg 80 cm 5 kg X

A monkey of mass m = 10.0 kg is holding on to two vines each of length l = 3.00 m. The vines form an angle with the horizontal of 40.0 degrees (see figure). The monkey is not moving and the vines are considered massless and not stretchable. Determine the magnitude of the tension in each vine. d. Now the monkey moves up by clinging up the two vines, causing their angle with the horizontal to become smaller. If each vine breaks at a tension larger than T = 100 N, what is the smallest angel the vines can have with the horizontal?

A monkey of mass m = 10.0 kg is holding on to two vines each of length l = 3.00 m. The vines form an angle with the horizontal of 40.0 degrees (see figure). The monkey is not moving and the vines are considered massless and not stretchable.   a. What is the distance d between the mounting points of the vines at the top? b. Draw a free body diagram of the monkey and indicate all forces.

A uniform density sheet of metal is cut into the shape of an isosceles triangle, which is oriented with the base at the bottom and a corner at the top. It has a base B = 43 cm, height H = 25 cm, and area mass density σ. - The horizontal center of mass of the sheet will be located:  On the center line. Not enough information to determine. To the left of the center line. To the right of the center line. -  The vertical center of mass of the sheet will be located:  Below the mid height. Not enough information to determine. Above the mid height. At the mid height. - Write a symbolic equation for the total mass of the triangle.  -Consider a horizontal slice of the triangle that is a distance y from the top of the triangle and has a thickness dy. Write an equation for the area of this slice in terms of the distance y, and the base B and height H of the triangle.  - Set up an integral to calculate the vertical center of…

A pulley is attached to one end of a rough plank, which makes an angle of 34◦ with the horizontal. A box is held at rest on the plank by a string that is attached to the box and passes over the pulley. A bucket of water is attached to the other end of the string and hangs freely. The coefficient of static friction between the plank and the box is 0.8. The box remains at rest but is on the point of slipping up the plank. The bucket of water has mass 7.5 kg.Name the four forces acting upon the box and draw a force diagram showing them, including  the angles that show their directions.

In the figure, a horizontal scaffold, of length 2.26 m and uniform mass 59.9 kg, is suspended from a building by two cables. The scaffold has dozens of paint cans stacked on it at various points. The total mass of the paint cans in 79.9 kg. The tension in the cable at the right is 739 N. How far horizontally from that cable is the center of mass of the system of paint cans? Number i Units m

CM4: A 58 kg circus performer hangs from a bar suspended from a ceiling as shown in the figure. If the bar masses 12 kg (and its weight acts at its center) and has a length of 1.4 m, what is the tension T₂ in the rope? The rope is attached 0.85 m along the bar. تل T₂ 50°

A 2.0-m-long rod has a density in kilograms per meter A = a + bx ,where a = 1.0 kg/m, b = 1.0 k9/m², and x is the distance from the left end of the rod. The rod rests horizontally with each end supported by a scale. The force exerted by the left scales is 39.2 N 22.9 N 16.3 N 4.0 N 32.6 N

Consider two geometrically identical marbles stacked in a container as shown. The radius of each of the marbles is R. while the width of the container is 2.9R. The marble at the top has a weight 0.78 N while the weight of the lower marble has a weight of 0.82 N. What is the magnitude of the normal force at point B? Express your answer in Newtons and with two decimal places. C А В

Caitlyn decides to test her strength to see if she is as strong as she was when winning Olympic gold medals decades earlier.  A 6-kg block of mass rests between the floor and a 3-kg block as shown in the figure. The 3-kg block is tied to a wall by a horizontal rope. If the coefficient of static friction is 0.8 between each pair of surfaces in contact, what force must Caitlyn apply horizontally to the 6-kg block to make it move? a) 63.5 N b) 94.1 N c) 51.1 N d) 28.2 N e) 78.5 N