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Q1. A straight ladder that has the length of 10m is placed against a building 12 m height. The ladder forms an angle with the ground such that the base of the ladder is 2.0 m from the wall. Assume ladder weights 50kg. A person climbing the ladder weights 100 kg, and assuming that there centre of gravity acts at a distance of 1m vertically away from their point of contact on the ladder rungs. The coefficient of friction between ladder and floor is 0.60. If a worker stands 1m (vertically) from the top of the ladder how much force is required to tip the ladder away from the wall? Imagine the force is acting horizontally against the top of ladder. Avoid any vertical force at the wall.
Q2. A person walks 36° north of east for 2.36 km. How far would another person walk due north and due east to arrive at the similar location?
You're carrying a 3.6-m-long, 25kg pole to a construction site when you decide to stop for a rest. You place one end of the pole on a fence post and hold the other end of the pole 35cm from its tip.
A cockroach of mass m lies on the rim of a uniform disk of mass 7.00 m that can rotate freely about its center like the merry-go-round. At first the cockroach and disk rotate together with an angular velocity of 0.220 rad/s. Then the cockroach walks ..
An elastic cord is 69 cm long when a weight of 57 N hangs from it but is 70 cm long when the weight of 75 N hangs from it. What is the "spring" constant k of this elastic cord.
Compute the momentum of the bullet
A proton is travelling to the right at. It has a head-on perfectly elastic collision with a carbon atom. The mass of the carbon atom is 12 times the mass of the proton. What are the speeds of each after the collision? What is the direction of the pro..
A block of mass 2.7 kg being released from rest on a 1m frictionless plane, inclined at an angle of 40 degree. The block sided down the inclined and struck second block mass of 3.7 kg. If the two blocks stick together, with what speed would they move..
Find the angle with respect to the ground
The tape is now wound back into the drum at angular rate. With what speed would the end of the tape move? (Note that our drawing specifies that a positive derivative of implies motion away from the drum. Be careful with your signs. The fact that the ..
A 180g block hangs from a spring with spring constant 6.0 N/m. At the block is 31cm below the equilibrium point and moving upward with a speed of 98.0cm/s. What is the block's position at t = 9s.
A person's prescription for her new bifocal glasses calls for a refractive power of -0.461 diopters in the distance-vision part, and a power of +1.83 diopters in the close-vision part. Find the near and far points of this person's uncorrected visi..
What is angular width of the beam
Sketch the shear force and bending moment diagram and Verify that the support reactions are correct.
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