a) As the box starts to slide down the plane, $\mu=\tan \theta$ $ \theta=\tan ^{-1}(\mu) $ b) If $a>\theta$, the angle of inclination will be the angle of repose and the net force acting will be...

Because the point is at rest with a = 0, the resulting forces on the point are zero. As a result, the X and Y axis net components will be zero. It's difficult to resolve all of the forces along the...

a) $\frac{1}{2} v_{z}^{2}=g H \Rightarrow v_{z}=\sqrt{2 g H}$ Speed at ground is given as: $\sqrt{v_{s}^{2}+v_{z}^{2}}=\sqrt{v_{s}^{2}+2 g H}$ b)$\frac{1}{2} m v_{s}^{2}+m g H$ is the total energy...

a) $ \begin{array}{l} r(t)=\hat{i} A \operatorname{coswt}+\hat{j} B \sin \omega t \\ x=A \cos \omega t \\ y=B \sin \omega t \\ x / A=\cos \omega t \\ y / B=\sin \omega t \end{array} $ Squaring both...

a) The body's acceleration is zero because the resultant force of the three forces F1, F2, and F3 on a location on the body is zero. The directions of forces F1 and F2 are in the plane of the paper,...

a = 2 m/s2 is the rising acceleration of an elevator. Gravitational acceleration, g = 10 m/s2 As a result, the net effective acceleration, a' = (a + g) = 12 m/s2, is calculated. In light of the...

For graph a) $ \begin{array}{l} v_{x}=d x / d t=2 / 2=1 \mathrm{~m} / \mathrm{s} \\ a_{x}=d^{2} x / d t^{2}=d v_{x} / d t=0 \end{array} $ For graph b) $ \begin{array}{l} y=t^{2} \\ v_{y}=d y / d t=2...

The ball's horizontal speed is = u m/s. The vertical component is equal to zero. Considering the ball's vertical downward motion $ \begin{array}{l} u=0 \\ s=h=500 \mathrm{~m} \\ g=10 \mathrm{~s} /...

Equilibrium between $A$ or $B$, Then we know that, $\mathrm{mg} \sin 30^{\circ}=\mathrm{F}$ $ \begin{array}{l} 1 / 2 \mathrm{mg}=\mathrm{F} \\ \mathrm{F}=(1 / 2)(100)=50 \end{array} $ Therefore,...

The thread CD breaks when the lower thread is jerked. The thread is inertia at rest, and the mass 2 kg above acts on it.

As the mass 2 kg acts downward, the force acting on the thread AB is equal to the force F. As a result, the force exerted on the AB is 2 kg more than on the D, and the thread AB breaks.

Because the force of friction is strong, which decreases the risks of sliding, mountain roads are typically built curving uphill rather than straight up. The value of frictional force increases when...

a) Mass of the object, $\mathrm{m}=500 \mathrm{~g}=0.5 \mathrm{~kg}$ $ u=0 $ $ \mathrm{v}=25 \mathrm{~m} / \mathrm{s} $ Impulse is given as: $ \underset{F}{\vec{F}} \cdot d t=\frac{d \rightarrow}{d...

Because porcelain artefacts are delicate, they are wrapped in paper or straw before being packed for shipment. When the acceleration (v – u)/t drops while carrying these items, the shift in velocity...

The correct answers are a) 1 m/s2 at an angle of tan-1 (4/3) w.r.t 6N force c) 1 m/s2 at an angle of tan-1(3/4) w.r.t 8N force

The correct answer is c) frictional force along the south-west