Question Library

From the figure, a uniform metre rule of weight 20 N is in equilibrium. A string is attached at the 0 cm mark, and a pivot is placed 30 cm from the 0 cm end (70 cm from the other end). Calculate the tension T in the string.

Calculate the minimum force F required to lift up a 0.5 m uniform rod of weight 30 N at the 50 cm mark.

The figure shows a uniform metre rule of weight 100 N balanced by a knife edge at the 10 cm mark and a cord attached at the 85 cm mark. What is the tension in the string?

From the above figure, a uniform meter rule is suspended by two cords from a height. Calculate T?

(a) You are provided with two metre rules, two retort stands, a mass, m = 100g, thread, and other necessary apparatus (i) Place one of the metre rules on a knife edge and determine the centre of gravity, C (ii) Measure and record the mass, M\(_R\) of the metre rule (iii) Attach the mass = 100g firmly to the metre rule AB at C using paper tape (iv) Suspend the metre rule by two parallel threads of length, h = 40cm each at 10 cm and 90cm mark. Ensure that the graduated face of the metre rule is facing upwards. (v) Set the metre rule into small angular oscillation about the vertical axis through the centre of gravity. (vi) Determine the time, t for 20 complete oscillations. Evaluate the period T and T\(^2\). (vii) Read and record the value of d in metres. (viii) Keeping d, constant, repeat the procedure for four other values of h = 50, 60, 70, and 80 cm. In each case, determine t and evaluate T and T\(^2\). (ix) Tabulate the readings (x) Plot a graph of T\(^2\) on the vertical axis and h on the horizontal. (xi) Determine the slope, s of the graph (xii) Evaluate K = \(\frac{\text{S}}{\text{Q}}\) where Q = \(\frac{2}{25d^2}\) (xiii) State two precautions taken to ensure accurate results b(i) Define couple as it relates to oscillatory motion (ii) Give two practical applications of a couple in everyday life.

Find the tension in the two cords shown in the figure above. Neglect the mass of the cords, and assume that the angle is 38° and the mass m is 220 kg [Take g = 9.8 ms-2]

Three forces with magnitudes 16 N, 12 N and 21 N are shown in the diagram below. Determine the magnitude of their resultant force and angle with the x-axis

A block of mass 0.5 kg is suspended at the 40 cm mark of a light metre rule AB that is pivoted at point E, the 90 cm mark, and is kept at equilibrium by a string attached at point D, the 60 cm mark, as shown in the figure above. Find the tension T in the string. [Take g = \(10 ms-2\) ]

The working of the beam balance is based on the principle of

Which of the following is an example of a couple?

Suppose three identical steel balls Q, R, and S, are placed on an undulating ground as illustrated in the diagram above. Which of the balls is/are in neutral equilibrium?

The basic principle of operation of a beam balance is------------------

A solid weighs 10.00N in air, 6N when forcefully immersed in water, and 7.0N when fully immersed in a liquid, X. Calculate the relative density of the liquid X.

The diagram shows a uniform meter rule AB which balances horizontally at the 90cm mark when a mass of 0.2kg is suspended from B. Calculate the mass of the meter rule.

A plastic sphere floats in water with 50% of its volume submerged. if it floats in glycerine with 40% of its volume submerged,the density of the glycerine is?