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A non-uniform bar of weight W is suspend...

A non-uniform bar of weight W is suspended at rest by two strings of negligible weight as shown in Fig.7.39. The angles made by the strings with the vertical are `36.9^(@)` and `53.1°` respectively. The bar is 2 m long. Calculate the distance d of the centre of gravity of the bar from its left end.

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`72cm`
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A non uniform bar of weight W is suspended at rest by two strings of negligible weight as shown. The angles made by the strings with the vertical are 36.9 and 53.1^(@) respectively. The bar is 2 m long. Calculate the distance d of the centre of gravity of the bar from its left end.

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Knowledge Check

  • One end of a 60m long rope of mass 1.8 kg is tied to a rigid horizontal support held high above the ground. The rope hangs vertically and kept taut by a weight eW suspended at its lower end. A person jerks the lower end of the rope sideways in a sinusoidal manner and a transverse wave of frequency 2 Hz and amplitude 10cm passes along the rope such that there are 2 cycles of the wave in the total length of the rope. Neglecting the weight of the rope as compared to the suspended weight W and with g = 10m//s^2 , answer the following questions. ( S = 75 xx l0^(-4) m^(2)) ), Mass corresponding to the suspended weight W is

    A
    14.2kg
    B
    10.8kg
    C
    6.6kg
    D
    8.4k

  • One end of a 60m long rope of mass 1.8 kg is tied to a rigid horizontal support held high above the ground. The rope hangs vertically and kept taut by a weight eW suspended at its lower end. A person jerks the lower end of the rope sideways in a sinusoidal manner and a transverse wave of frequency 2 Hz and amplitude 10cm passes along the rope such that there are 2 cycles of the wave in the total length of the rope. Neglecting the weight of the rope as compared to the suspended weight W and with g = 10m//s^2 , answer the following questions. ( S = 75 xx l0^(-4) m^(2)) ), Average power will be nearly

    A
    3.2 w
    B
    2.25 w
    C
    1.4 w
    D
    0.75 w

  • One end of a 60m long rope of mass 1.8 kg is tied to a rigid horizontal support held high above the ground. The rope hangs vertically and kept taut by a weight eW suspended at its lower end. A person jerks the lower end of the rope sideways in a sinusoidal manner and a transverse wave of frequency 2 Hz and amplitude 10cm passes along the rope such that there are 2 cycles of the wave in the total length of the rope. Neglecting the weight of the rope as compared to the suspended weight W and with g = 10m//s^2 , answer the following questions. ( S = 75 xx l0^(-4) m^(2)) , In the questions above, weight of the rope has been neglected as compared to the suspended weight. However, if we also account for the weight of the rope, the speed of the wave at the top of the rope will be

    A
    60 m/s
    B
    64.8 m/s
    C
    62.6 m/s
    D
    68.4 m/s

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