A trap-jaw ant has mandibles that can snap shut with some force, as you might expect from its name. The formidable snap is good for more than capturing prey. When an ant snaps its jaws against the ground, the resulting force can launch the ant into the air. Here are typical data: An ant rotates its mandible, of length 1.30 mm and mass 130 g (which we can model as a uniform rod rotated about its end), at a high angular speed. As the tip strikes the ground, it undergoes an angular acceleration of 3.5 x 10 rad/s?

Problem: The blade of a fan is 0.20 m long and makes 20 revolutions/seconds. Given: 10 res f = Solution: Find a) T=2 b) r-0.3 m, -? c) m=3g= 0.003 kg, F=7 d) a, -? , = ? 2(3.1416)(Om) (5.027m) 04 ,- 12.57 T-1r T- 0.4 a a, - (12s (0.003kg)(1257: 0.B m 3kg)(158.0049 0.8 m ä,- m (0474 kg ) a- 1975.06 0.8 m F= 0.5925 N 16 d) What happens to the acceleration of the blade if the velocity is doubled and the radius of the circle is halved?

Torque can be calculated by multiplying the force (N) applied at 90 ∘to the lever arm at a distance (m) from the pivot point (point of rotation), the compound SI unit for the torque is N⋅m. If the force (at 90 ∘to the lever arm) applied is 15 Nand it is applied at 2.0 mfrom the pivot point (point of rotation), what is the torque on the lever?

Consider the table below. The table is perfectly balanced and has a mass of 11.6 kg. The sides of the table are 93.2 cm. If we take the left hand corner nearest to us in the picture to be x=0, %3D0, what is the force on the leg underneath that corner if we place a weight with a mass of 10.84 kg centered on the point x=35.6 cm and y=50.8 cm? Assume that the legs are centered below each corner.

The figure below shows a claw hammer being used to pull a nail out of a horizontal board where ? = 27.3°. The mass of the hammer is 1.00 kg. A force of 165 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. A hand uses a hammer to pull a nail out of the ground. The head of the hammer is curved and touches the ground at a single point of contact at the center of the head. The nail in the ground makes an acute angle ? clockwise from the vertical. The nail is hooked in the hammer claw 5.00 cm horizontally to the left of the hammer head's point of contact to the ground. The hand pulls the hammer handle horizontally to the right 30.0 cm above the ground with a force vector F.(a) Find the force exerted by the hammer claws on the nail.magnitude     kNdirection     ° above the horizontal (b) Find the force exerted by the surface on the point of contact with the hammer head.(  î +  ĵ)…

A 6 - m string wounded on the rim of a wheel (r = 10.28 cm) is being pulled out at a rate of 61 cm/s. Find the total number of revolutions the wheel should turn to unwound the whole string.   Round your answer to 2 decimal places.

If the resultant of the four forces is FR = {-360k}lb, determine the tension developed in each cable. Due to symmetry, the tension in the four cables is the same.

When tightening a bolt, you push perpendicularly on a wrench with a force of 150 N at a distance of 0.125 m from the center of the bolt. Part (a) How much torque are you exerting on the wrench, in newton meters, relative to the center of the bolt? Part (b) What is this torque, in pound-foot?

why is gravity not included in the equation? We know that Force = mass x gravity and the formula for Torque is T= Force x lever arm.

Calculate the torque produced by the tension T = 20 N at point 0.