An elevator cable can have a maximum stress of $7 \times 10^7\,N/m^2$ for appropriate safety factors. Its maximum upward acceleration is $1.5\,m/s^2$ . If the cable has to support the total weight of $2000\,kg$ of a loaded elevator, the minimum area of crosssection of the cable should be ....... $cm^2$  $(g = 10\,m/s^2)$
  • A$3.28$
  • B$2.38$
  • C$0.328$
  • D$8.23$
Diffcult
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modules of the material of the wire will :
    View Solution
  • 2
    When a pressure of $100$ atmosphere is applied on a spherical ball, then its volume reduces to $0.01\%$. The bulk modulus of the material of the rubber in $dyne/c{m^2}$ is
    View Solution
  • 3
    The pressure of a medium is changed from $1.01 × 10^5$ $Pa$ to $1.165 × 10^5$ $Pa$ and change in volume is $10\% $ keeping temperature constant. The Bulk modulus of the medium is
    View Solution
  • 4
    Modulus of rigidity of a liquid
    View Solution
  • 5
    When a rubber ball is taken to the bottom of a sea of depth $1400 \,m$, its volume decreases by $2 \%$. The Bulk modulus of rubber ball is .................. $\times 10^8 N / m ^2$ [density of water is $1 \,g cc$ and $g=10 \,m / s ^2$ ]
    View Solution
  • 6
    A wire suspended vertically from one of its ends is stretched by attaching a weight of $200\ N$ to the lower end. The weight stretches the wire by $1\ mm$. Then the elastic energy stored in the wire ......... $J$
    View Solution
  • 7
    The stress-strain curves are drawn for two different materials $X$ and $Y$. It is observed that the ultimate strength point and the fracture point are close to each other for material $X$ but are far apart for material $Y$. We can say that materials $X$ and $Y$ are likely to be (respectively)
    View Solution
  • 8
    A wire of area of cross-section $10^{-6}\,m^2$ is increased in length by $0.1\%$. The tension produced is $1000\, N$. The Young's modulus of wire is
    View Solution
  • 9
    The temperature of a wire of length $1$ metre and area of cross-section $1\,c{m^2}$ is increased from $0°C$ to $100°C$. If the rod is not allowed to increase in length, the force required will be $(\alpha = {10^{ - 5}}/^\circ C$ and $Y = {10^{11}}\,N/{m^2})$
    View Solution
  • 10
    Assume that a block of very low shear modulus is fixed on an inclined plane as shown. Due to elastic forces it will deform. What will be the shape of the block ?
    View Solution