A 1000 kg car is suspended on its axles by springs. When four 70 kg students pile in, the car lowers 3 cm. What is the effective spring constant of the suspension and what is the period of oscillation of the loaded car?
A 1000 kg car is suspended on its axles by springs. When four 70 kg students...
Q3. [21pts] Four people of total mass 300 kg get into a car. The car springs are compressed and the body of the car is lowered by 3 cm. Whilst driving, the car hits a bump on the road and oscillates vertically with a period of 0.75 s. a. Derive the value of the spring constant for the car suspension (the acceleration due to gravity can be taken as g = 9.8 ms). b. Derive the total mass of the...
Four people enter a 2,150 kg vehicle and discover that this compress the vehicle's springs by an additional 0.75 cm. Together the people have a mass of 310 kg. If we pretend that the vehicle's suspension consists of one spring, then we can calculate its effective spring constant, k. What is the value of k (in N/m) for this vehicle? The four people exit the vehicle. They push down upon it once and then release it. This causes the vehicle...
Four people enter a 2,150 kg vehicle and discover that this compress the vehicle's springs by an additional 0.75 cm. Together the people have a mass of 310 kg. If we pretend that the vehicle's suspension consists of one spring, then we can calculate its effective spring constant, k. What is the value of k (in N/m) for this vehicle? The four people exit the vehicle. They push down upon it once and then release it. This causes the vehicle...
One of the springs of a car compresses 0.03m when your child gets in the car. If the spring has a spring constant of 3000 N/m, a) What is the mass of your child? b) How much potential energy is the spring storing? c) What is the period of oscillation of the spring? d) What is the frequency?
A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped when moving in the vertical direction by a damping force Famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. If y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period?...
Two geekie physics students with a combined mass of 127 kg jump into their old car to run out for some late night pizza. The distance between the front and back axles of the car is 2.9 m. When they get in the car, the springs compress a total of 9.9 cm. On their way to the Pizza Hut, when they go over a bump, the car oscillates up and down with a period of 1.6 seconds. 1)What is mass...
Two springs are hooked together end to end. When a 4.8-kg brick is suspended from one end of the combination, the combination stretches 0.15 m beyond its relaxed length. What is the spring constant of the combination? If the top spring stretches 0.10 m, what is the spring constant of each spring?
1-/7 points 1. Suppose that a car weighing 2000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6250 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 25000 lbs/foot. 1. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g- 32 ft/sec2 25000.32 2. After 10 seconds the car body is 1 foot above its equilibrium position and at the...
1. Suppose that a car weighing 4000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6500 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 26000 lbs/foot.1. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g= 32 ft/sec22. After 10 seconds the car body is 1 foot above its equilibrium position and at the high point in its cycle....
When a 70 kg person climbs into a 1200 kg car, the car’s springs compress vertically by 0.025 m. What will be the frequency of vibration when the car hits a bump? (Hint: Find k first.) Ignore damping.