between the pulley and its axle is negligible. (a) In unit-vector notation, what is the acceleration of the center of mass of the cart-block system? (b) What is the velocity of the com as a function of time t, in unit-vector notation?

A uniformly loaded rectangular crate is released from rest in the position shown. Assuming that the floor is sufficiently rough to prevent slipping and that the impact at B is perfectly plastic, deter- mine the smallest value of the ratio a/b for which corner A will remain in contact with the floor. A qf b B

A vehicle applies brakes and skids through a distance equal to 40 m before colliding with another parked vehicle, the weight of which is 60% of the former. From fundamental principles compute the initial speed of moving vehicle, if the distance which both vehicles skid through after the collision, before stopping is 12 m. Assume average friction coefficient as 0.6. Show the various steps in the analysis and mention the assumption made in each step.

A 0.50-kg block slides across a table top with an initial speed of 20 cm/s and comes to rest on a distance of 70 cm. Find the average friction force that retarded its motion.

ASAP like

the driver of a car on a horizontal road makesan emergency stop by applying the brakes so that all four wheelslock and skid along the road.The coefficient of kinetic friction betweentires and road is 0.40.The separation between the front andrear axles is L = 4.2 m, and the center of mass of the car is locatedat distance d =1.8 m behind the front axle and distance h = 0.75 mabove the road. The car weighs 11 kN. Find the magnitude of (a)the braking acceleration of the car, (b) the normal force on eachrear wheel, (c) the normal force on each front wheel, (d) the brakingforce on each rear wheel, and (e) the braking force on eachfront wheel. (Hint: Although the car is not in translational equilibrium,it is in rotational equilibrium.)

A car is initially traveling at a speed of 90 km/h, suddenly brakes so that the speed becomes 36 km / h in an interval of 6 s. If style that stops the car at 3200 N, what is the mass of the car?

Find the center of mass of a rod of length L whose mass density changes from one end to the other quadratically. That is, if the rod is laid out along the x-axis with one end at the origin and the of end at x = L, the density is given by p(x) = Po + (P, - PoE where Po and e, are constant values. (Use the following as necessary: L, Po, and e,.) XCM =

Calculate the center of mass of the upper-arm and forearm of a 75 kg athlete using the appropriate anthropometric tables, when we know the position of Marker1 is (3.5,4.5), Marker 2 is (5,3), and Marker3 is (7,4). The upper arm is defined by markers Marker1 to Marker2, whereas the forearm is defined by markers Marke2 to Marker3.

The vector position of a 3.45 g particle moving in the xy plane varies in time according to i, - (3i + 35)t + 2jr? where t is in seconds and is in centimeters. At the same time, the vector position of a 5.20 g particle varies as i,- 31 - zir? - 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.90 s. x cm cm (b) Determine the linear momentum (in g cm/s) of the system at t = 2.90 s. 9. cm/s (e) Determine the velocity (in cm/s) of the center of mass at t = 2.90 s. cm/s (4) Determine the acceleration (in cm/s) of the center of mass at t = 2.90 s. cm/s? (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.90 s. UN net