A 4.0 kg block, lying on a smooth table, is connected to another 5.0 kg block by means of a weightless cord passing over, without slipping, a cylindrical pulley of 2.0 kg mass and 10.0 cm radius placed at the edge of the table. The system is released from rest at t = 0. Denote a, the acceleration of the system. Consider g=9.8 m/s2. (a) The ratio g/a for the 5.0 kg block is ________   (b) The net torque on the pulley is ________

An oxygen cylinder of mass 11.0 kg is pulled up a mountain side at a constant speed of 5.2 m/s by a cable and winch. The width of the climb is d, = 43.0 m and height d, = 44.0 m. The coefficienct of kinetic friction, u, between the cylinder and the %3D %3D mountain is0.2. d2 d1

Determine the steady-state angle a if the constant force P = 155 N is applied to the cart of mass M = 32 kg. The cart travels on the slope of angle 0 = 24°. The pendulum bob has mass m = 7 kg and the rigid bar of length L = 1.2 m has negligible mass. Ignore all friction. P M m Answer: a = i

Consider a disc of mass 0.44kg, with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc. What is the acceleration of the disc down the slope?

An object with mass M slides across a frictionless half-circular slide of radius R. The object is initially held stationary at the top of the slide. The initial height is, hi = R. The mass is released and slides down, around the bottom, and back up the other side. The radius of the slide is R = 5.79 m and the mass of the object is M = 37 kg. When the object is moving up the slide, at an angle θ = 18o from the vertical, what is the normal force on the object?

A circular-motion addict of mass 81.0 kg rides a Ferris wheel around in a vertical circle of radius 12.0 m at a constant speed of 7.10 m/s. (a) What is the period of the motion? What is the magnitude of the normal force on the addict from the seat when both go through (b) the highest point of the circular path and (c) the lowest point? Unit of Part A is s, Part B and C is N.

A block of mass mA=20kg on an inclined plane and a bucket of mass mbucket=16kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. The inclined plane makes an angle of θ=46o with the horizontal and the coefficients of kinetic and static friction are μk=0.21 and μs=0.58. The system is initially at rest and a student starts to fill the bucket with balls, each of whose mass is 100 grams, one at a time until the system starts to move. Determine the number of balls the student placed in the bucket. Take g=9.80m/s2 and please note that the number balls must be an integer!

Two blocks, A and B, with masses of MA = 2M and MB = M, respectively, are connected together by a massless and non-elastic cord, as shown in the drawing. Block A lies on a table top, while block B hangs in the string one height, H above the floor. The massless pulley is stuck and thus can not achieve any translational movement, but it can rotate freely and frictionlessly about its own center. Assume that the pulley rotates so that the cord does not slide on the pulley. The system starts at rest before it is released.   Assume that block A slides frictionlessly on the table top. Assume that the table top is long enough for block A to still be on the table when block B hits the floor. Show by means of energy conservation that the speed of the blocks as block B hits the floor is given by: v = squarerot 2gH / 3 question Explain briefly why the height of block A does not matter.

A motor cyclist goes round a circular track at 72 km / hr. If he leans 45° from the vertical to preserve his balance, find the radius of the track. (g = 9.8 m/s²)

Two transmission belts pass over a double-sheaved pulley that is attached to an axle supported by bearings at A and D. The radius of the inner sheave is 125 mm and the radius of the outer sheave is 250 mm. Knowing that when the system is at rest, the tension is 90 N in both portions of belt B and 150 N in both portions of belt C,determine the reactions at A and D. Assume that the bearing at D does not exert any axial thrust.