MCQ
A uniform sphere of weight $W$ and radius $3\,m$ is being held by a string of length $2\,m$ , attached to a frictionless wall as shown in the figure. The tension in the string will be
- ✓$5\,W/4$
- B$15\,W/4$
- C$15\,W/16$
- D$5\,W/3$
✓
Answer
Correct option: A.
$5\,W/4$
a
$\mathrm{W}=\mathrm{T} \sin \theta$
$\mathrm{W}=\mathrm{T} \sin \theta$
$\cos \theta=3 / 5 \Rightarrow \quad \theta=53^{\circ}$
$\mathrm{T}=\frac{\mathrm{W}}{\sin 53^{\circ}}=\frac{5}{4} \mathrm{W}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A $100$ $Newton$ weight is suspended in a corner of a room by two cords $A$ and $B$ as shown in the figure below. The tension in the horizontal cord $A$ is ............ $N$
→A circular loop is kept in that vertical plane which contains the north-south direction. It carries a current that is towards north at the topmost point. Let A be a point on the axis of the circle to the east of it and B a point on this axis to the west of it. The magnetic field due to the loop
The coordinates of the positions of particles of mass $7,\,4{\rm{ and 10}}\,gm$ are ${\rm{(1,}}\,{\rm{5,}}\, - {\rm{3),}}\,\,{\rm{(2,}}\,5,7{\rm{) }}$ and ${\rm{(3, 3, }} - {\rm{1)}}\,cm$ respectively. The position of the centre of mass of the system would be
→The maximum height attained by a projectile is increased by $10\,\%$ by increasing its speed of projection, without changing the angle of projection. The percentage increases in the horizontal range will be $...........\,\%$
→What is the period of small oscillations of the block of mass $m$ if the springs are ideal and pulleys are massless ?
→Select the incorrect statement$(s)$
→shows a capillary tube of radius $r$ dipped into water. If the atmospheric pressure is $P_0$ the pressure at point $A$ is:
→An air bubble of radius $r$ in water is at depth $h$ below the water surface at same instant. If $P$ is atmospheric pressure and $d$ and $T$ are the density and surface tension of water respectively. The pressure inside the bubble will be
→The specific heat relation for ideal gas is
The length of a spring is a when $\alpha $ force of $4\,N$ is applied on it and the length is $\beta $ when $5\,N$ force is applied. Then the length of spring when $9\,N$ force is applied is
→