In the given figure the acceleration of $M$ is $(g = 10 \,ms^{-2})$
Medium
Download our app for free and get started
$\sin \theta=\frac{3}{5} \quad \Rightarrow \cos \theta=\frac{4}{5}$
$\mathrm{N}=\mathrm{mg}-\mathrm{F} \sin \theta=\frac{10}{3} \times 10-50 \times \frac{3}{5}=\frac{10}{3}$
and $\mathrm{F}+\mathrm{F} \cos \theta-\mu \mathrm{N}=\mathrm{Ma}$
$\Rightarrow \quad 50+50 \times \frac{4}{5}-\frac{1}{3} \times \frac{10}{3}=\frac{10}{3} \mathrm{a}$
$\Rightarrow \quad 90-\frac{10}{9}=\frac{10}{3} \mathrm{a} \Rightarrow \mathrm{a}=\frac{80}{3} \mathrm{m} / \mathrm{s}^{2}$
Download our appand 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
- 1A girl holds a book of mass $m$ against a vertical wall with a horizontal force $F$ using her finger, so that the book does not move. The frictional force on the book by the wall isView Solution
- 2Given below are two statements:View Solution
$Statement$ $(I)$ : The limiting force of static friction depends on the area of contact and independent of materials.
$Statement$ $(II)$ : The limiting force of kinetic friction is independent of the area of contact and depends on materials.
In the light of the above statements, choose the most appropriate answer from the options given below:
- 3Two balls of masses ${m_1}$ and ${m_2}$ are separated from each other by a powder charge placed between them. The whole system is at rest on the ground. Suddenly the powder charge explodes and masses are pushed apart. The mass ${m_1}$ travels a distance ${s_1}$ and stops. If the coefficients of friction between the balls and ground are same, the mass ${m_2}$ stops after travelling the distanceView Solution
- 4When $F = 2N$, the frictional force between $5 kg$ block and ground is ...... $N$View Solution
- 5A rope of length $L$ and mass $M$ is being pulled on a rough horizontal floor by a constant horizontal force $F$ = $Mg$ . The force is acting at one end of the rope in the same direction as the length of the rope. The coefficient of kinetic friction between rope and floor is $1/2$ . Then, the tension at the midpoint of the rope isView Solution
- 6View SolutionWhich one of the following statements is correct
- 7View SolutionIn a tonga, horse pulls a wagon. Which is the correct analysis of the situation?
- 8Two particles of equal masses are revolving in circular paths of radii ${r_1}$ and ${r_2}$ respectively with the same speed. The ratio of their centripetal forces isView Solution
- 9View SolutionA car is moving with high velocity when it has a turn. A force acts on it outwardly because of
- 10A block of $1\, kg$ is stopped against a wall by applying a force $F$ perpendicular to the wall. If $\mu = 0.2$ then minimum value of $F$ will be ....... $N.$View Solution