A pulley system has two frictionless disks, whose radii are d1 = 17 cm and d2 = 28 cm, respectively. The disks have a common centre, and m1 = 405 g. If the system is in static equilibrium, what is magnitude of m2, when
4.1 the pulleys are frictionless, and
4.2 disk 2 exerts a friction of 0.023 N
A hydraulic system has two pistons of different diameter and uses a liquid of density p=850kg/m3. the smaller piston has a diameter of 4,9 cm and the mass of 1600 g and larger piston has a diameter of 14 cm and a mass of 2600 g. determine h, the height difference between the two pistons.
An iron rod 4 m long and 0.5 cm2 in cross section stretches 1 mm when a mass of 225 kg is hung from its lower end. Compute Young’s modulus for the iron.
A steel wire of length 2m and diameter 1 mm is stretched horizontally between two rigid supports spaced 2 m apart. A mass 250 g is suspended from the mid-point of the wire. Calculate the small sag x of the wire at the midpoint.
Young’s modulus for steel = 2×1011 N m –2.
Assume that where x<<1. The figure below might aid you in your analysis.
The functional relation between the displacement 𝑥 in meters and the time 𝑡 in seconds is given by 𝑥 = 𝐴𝑡 2 + 𝐵𝑡 + 𝐶 where 𝐴, 𝐵, and 𝐶 are constants. Find the functional relationship between the (a) velocity and the time, and (b) acceleration and the time. What are the values of the velocity and the acceleration at the instant 𝑡 = 4 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
A 60 cm square metallic sheet of uniform thickness with a small circular portion cut out from it. This portion has a diameter of 20 cm and has its center located 20 cm from the side of the sheet. Locate the center of gravity of the remaining portion.
The side of the metallic sheet of uniform thickness is 30cm. If a square 10cm x 10 cm is cut from the corner, find the center of gravity of the remaining portion.
The uniform horizontal beam is 6 m long weighs 100 kg force, and is pivoted at a point in the wall. The other end of the beam is supported by a rope which makes 30o with the horizontal. Find (a) the tension in the rope and (b) the vertical and horizontal components of the force exerted by the wall at the pivot