Chapter 14, Problem 1P

Using a forked rod, a smooth cylinder P, having a mass of 0.4 kg, is forced to move along the vertical slotted path r- (0.60) m, where e is in radians. If the cylinder has a constant speed of te- 2 m/s, determine the force of the rod and the normal force of the slot on the cylinder at the instant e- rad. Assume the cylinder is in contact with only one edge of the rod and slot at any instant. Hint To obtain the time derivatives necessary to compute the cylinder's acceleration components a, and a, take the first and second time derivatives of r- 0.60. Then, for further information, use Eq. 12-26 to determine 8. Also, take the time derivative of Eq. 12-26, noting that te - 0, to determine 8. -060

The constant 8-N force is pulling the 2-kg crate across the horizontal surface. If the coefficient of kinetic friction between the crate and the surfce is 0.3, determine the time required to increase the speed v of the crate from 3 m/s to 12 m/s. 8 N 30° 2 kg He =0.3

A 0.8 Mg car travels over the hill having the shape of a parabola. If the driver maintains a constant speed of 9 m/s, determine both the resultant normal force and the resultant frictional force that all the wheels of the car exert on the road at the instant it reaches A. y = 20 (1 – À00 -80 m-

During a brake test, the rear-engine car is stopped from an initial speed of 98 km/h in a distance of s = 54 m. If it is known that all four wheels contribute equally to the braking force, determine the braking force F at each wheel in N. Assume a constant deceleration for the 1,446-kg car. Use g = 9.81 m/s?

400 mm The spring attached to the mass of m = 0. 5 kg sliding collar has a stiffness of k = 0.21 kN/m and a free length of 150 mm. If the speed of the collar in position A is 4 m/s to the right, determine the total energy and the speed of the collar in position B, Neglecet 100 mm friction. 200

Determine the magnitude of the force P that would cause block A to accelerate to the right at 4 m/s2. Neglect friction and the mass of the pulley. 3 kg P 8 kg

The 50-kg crate is pulled by the constant force P. If the crate P starts from rest and achieves a speed of 10 m/s in 5 s, determine the magnitude of P. The coefficient of kinetic friction between the crate and the ground is µk = 0.2.

The 50-kg crate is hoisted up the 30o incline by the pulley system and motor M. If the crate starts from rest and by constant acceleration attains a speed of 9.5 m/s after traveling 11.5 m along the plane, determine the power in kW that must be supplied to the motor at this instant. Neglect friction along the plane. The motor has an efficiency ϵ = 0.53.

Determine the speed v which the 655-kg four-man bobsled must have in order to negotiate the turn without reliance on friction. Also find the net normal force Nexerted on the bobsled by the track. 38 -p = 52 m Answers: V = i m/s N = i kN