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A 400.0-N sign hangs from the end of a uniform strut. The strut is 4.0m long and weighs 600.0N. The strut is supported by a hinge at the wall and by a cable a whoose other end is tied to the wall at point 3.0m above the left and of the strut. Find the tension in the supporting cable and the force of the hinge on the strut.

A basketball player threw the ball with an initial velocity of 30 m/s 30°above the horizontal.




a.How long it took the ball to land?



b.How high the ball flew?



c.What was its range?

A 2200 kg truck encounters an average friction force of 785 N at interstate speeds. Suppose the truck accelerates from 25 m/s to 35 m/s over a distance of 350 m. Determine the amount of force generated by the truck’s drive-train in order to produce this result. 


If the moment of inertia of a tire is 0. 63 kg.m² and its weight is 24.5 N, what is the diameter of the tire? If the weight is doubled, what will be the moment of inertia?


A boy of mass 40kg runs up a flight of 30 steps each 150mm high in 6secs. Find the average power develop by the boy (take g=10m/s^2)


Assuming 2 objects, A & B, connected together, so sitting still in relationship to one another, then a force is applied to B causing it to accelerate through space away from A, and then the accelerating force is removed leaving B to continue away from A at a constant velocity.

Since we know that the accelerating force was applied to B, can we say that a clock in B, that had been initially synchronized with a clock in A, will tick slower than the clock in A, and would read, at some lapsed time, less than A?

And if the two objects returned to rest in regards to one another, (at some distance apart from each other) either by a reverse force being applied to B until it slows to a stop in regards to A, or a force being applied to A accelerating it in the direction of B until it reaches the velocity of B, can we say that the two clocks will again tick in unison but that the clock in B will read behind the clock in A?


Block A with mass m_A

mA

​ is placed on a horizontal surface S. Surface S is attached to a vertical axis. Block A is attached to this vertical axis via a massless rope. The distance between block A and the axis is R

R.

Between block A and surface S there is static friction with static friction coefficient \mu_{\rm s}

μs

​.

The whole system rotates around the axis of rotation (see figure) with angular frequency \omega=2\pi/T

ω=2π/T where T

T is the time of one revolution of rotation. The angular frequency \omega

ω is so large that the static friction force is maximum.


Calculate the tension in the rope.


A stone of mass 0.5kg is thrown vertically upward with velocity of 10m/s.



Find the potential energy at its greatest hight (h).



The kinetic energy on reaching the ground again (assume g=10m/s and neglect air resistance

Two ball are thrown simultaneously, A vertically upward with a speed of 20m/s from the ground , and B vertically downward from a height of 40m with the same speed along the same line of motion . At what point do two balls meet


On a 40-km bike ride, a cyclist rides the first 20 km at 20 km/h.If the cyclist rides very fast for the final 20 km, what is the maximum value his average speed could approach?