A drum weighing 60N and containing 400N of water is to be raised from a well by means of a wheel and axle. The axle is 10cm in diameter and the wheel is 40cm in diameter. If an effort of 120N is to be applied to the wheel, determine mechanical advantage

(A) 4.625

(B) 3.833

(C) 6.000

(D) 7.000

Figure below shows a wheel barrow of mass 15 kg carrying a load of 30 kgf with its centre of gravity at A. the points B and C are the centre of wheel and tip of the handle such that the horizontal distance AB=20 cm and AC=40 cm. Find: (a) the load arm, (b) the effort arm, (c) the mechanical advantage, and (d) the minimum effort required to keep the leg just off the ground.

Two syringes of different cross-sections (without needles) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are 1.0cm and 3.0 cm respectively. (a) Find the force on the larger piston when a force of 10N is applied to the smaller piston. (b) The smaller piston is paused in through 6.0 cm, much does the larger piston move out?

A rectangle A B C D is inscribed in a circle with a diameter lying along the line 3y=x+10. If A and B are the points (-6,7)a n d(4,7) respectively, find the area of the rectangle and equation of the circle.

An air bubble is seen inside a solid sphere of glass (n=1.5) of 4.0 cm diameter at a distance of 1.0 cm from the surface of the sphere (on seeing along the diameter). Determine the real position of the bubble inside the sphere.

A wheel of diameter 2m is shown in Fig 1.28 with axle at O. At force F= 2N is applied at B in the direction shown in figure, Calculate the moment of force about (i) the centre O, and (ii) the point A.

Forces are applied on a wheel of radius 20 cm as shown in the figure. The torque produced by the forces 4 N at A, 8N at B, 6 N at C and 9N at D at angles indicated is

If pi is taken as 22//7 , the distance (in metres) covered by a wheel of diameter 35 cm, in one revolution, is (a) 2.2m (b) 1.1m (c) 9.625m (d) 96.25m

How much a hollow cylindrical piller of height 6m and external diameter 28cm and internal diameter 22cm will contract under a load of 60,000 kg? Given Young's modulus of the material to be 21 xx 10^(10) N //m^(2) .

A bicycle has pedal rods of length 16 cm connected to sprocketed disc of radius 10 cm . The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4cm . The speed of the cycle is constant and the cyclist applies 100 N for, that is always perpendicular to the pedal rod, as shown in figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts and the rolling friction. The net force of the friction on the rear wheel due to the road is:

A bicycle has pedal rods of length 16 cm connected to sprocketed disc of radius 10 cm . The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4cm . The speed of the cycle is constant and the cyclist applies 100 N for, that is always perpendicular to the pedal rod, as shown in figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts and the rolling friction. The speed of the bicycle is