A80 A compressed spring is used to propel a ball- bearing along a track which contains a circular loop of radius 0.10m in a vertical planc. The spring obeys Hooke's law and requires a force of 0.20N to compre:s it 1.0 mm. 0.10 m (2) The spring is compressed by 30 mm. Culculate the energy stored in the spring. (b) A ball-bearing of mass 0.025 kg is placed against the end of the spring which is then released. Calculete (i) the speed with which the ball- bearing leaves the spring, (ii) the speed of the ball at the top of the locp, (iii) the force exerted on the bali by the track at the top of the loop. Assume that the effects of friction can be ignored. [J, '89]

A three wheeled OTV has been designed such that the forces from the wheels and motors are uniform, hence the reaction forces at the point of contact with the upper surface can be modeled as a single vertical reaction support. The platform is a square with side length 200mm and has a thickness of 20mm. Plywood has a density of 0.3 g/cm^3. For the purposes of finding the platform weight, W, ignore any holes in the plywood for motor mounts. Due to a misscommunication in the team, the motor mounts M1, M2, and M3 were not attached symmetrically! The potential consequences of this are a difference in reaction forces at the platform to keep it balanced. This difference in reaction forces will result a different normal force at each wheel, and hence the potential for different traction forces, leading to an inability to drive the OTV straight. Co • F: (-75,-75) F₂: (85, -75) • F3: (15,85) -17.4319 MAT 1.338758 3.18886 7 Top View A coordinate system has been defined, such that middle of the…

vibrations show full solution

Consider a uniform ladder of length 4.3 m and mass 10 kg.  The ladder is falling over, pivoting about the end that is touching the ground.  Someone is pushing on the top end of the ladder with a horizontal force of size 415 N.  At the instant when the ladder makes a 46 degree angle with the horizontal, calculate the net torque on the ladder about its bottom end, in N m.  Make your answer positive, and use g = 10 m/s2. (Please answer to the fourth decimal place - i.e 14.3225)

please answer this question with explination. many thanks !

Let’s look at a simplified model of a car that’s dropped onto the ground. Model the suspension as a single linear spring and the rest of the vehicle as a single lumped mass. The car is dropped from a height of h1 = 0.9m. What is the maximum mass m for which the suspension does not bottom out? Assume a maximal allowable suspension travel of 10 cm and a spring constant of k = 2.4x10^6 N/m.