4- The motion of a particle is described by the equation x a + bt where a =15cm and b= 3cm. find the velocity at time 3 sec.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Homework -1...
4- The motion of a particle is described by the equation x = a
+ bt where a =15cm and b = 3cm. find the velocity at time 3
sec.
5- The displacement of the particle is given by y = a + bt + ct
dt'. Find the initial velocity and acceleration.
6- A particle is moving eastwards with velocity of 5 m/sec. In
10 sec the velocity changes to 5 m/sec northwards. What is
the average acceleration and direction?
V, = 5 m/sec
VI =5 m/ sec
7- If a body having starts moving from rest with uniform
acceleration 8 m/sec'. Find the velocity and distance travelled
by it after 8 sec.
8- If a body is thrown up with the velocity of 15 m/sec. Find the
maximum height and the distance after 4 sec.
9. A bowling ball of mass 7.5 kg travelling at 10 m sec-'rolls off a
horizontal table 1 m high. (Assume the acceleration due to gravity is
10 m sec, and the effects of air resistance may be ignored unless
otherwise stated.)
a Calculate the ball's horizontal velocity just as it strikes the floor.
b What is the vertical velocity of the ball as it strikes the floor?
c Calculate the velocity of the ball as it reaches the floor.
d What time interval has elapsed between the ball leaving the table
and striking the floor?
e Calculate the horizontal distance travelled by the ball as it falls.
10- A softball of mass 250 gm is thrown with an initial velocity of 16 m
sec at an angle 0 to the horizontal. The total time od flight is 12 sec.
What is the angle 0?
11- A skater moves around circle of radius 30 m. The central force of
450 N. After 40 sec, the skater finish 2 revolution. What is the mass
of the skater?
Transcribed Image Text:Homework -1... 4- The motion of a particle is described by the equation x = a + bt where a =15cm and b = 3cm. find the velocity at time 3 sec. 5- The displacement of the particle is given by y = a + bt + ct dt'. Find the initial velocity and acceleration. 6- A particle is moving eastwards with velocity of 5 m/sec. In 10 sec the velocity changes to 5 m/sec northwards. What is the average acceleration and direction? V, = 5 m/sec VI =5 m/ sec 7- If a body having starts moving from rest with uniform acceleration 8 m/sec'. Find the velocity and distance travelled by it after 8 sec. 8- If a body is thrown up with the velocity of 15 m/sec. Find the maximum height and the distance after 4 sec. 9. A bowling ball of mass 7.5 kg travelling at 10 m sec-'rolls off a horizontal table 1 m high. (Assume the acceleration due to gravity is 10 m sec, and the effects of air resistance may be ignored unless otherwise stated.) a Calculate the ball's horizontal velocity just as it strikes the floor. b What is the vertical velocity of the ball as it strikes the floor? c Calculate the velocity of the ball as it reaches the floor. d What time interval has elapsed between the ball leaving the table and striking the floor? e Calculate the horizontal distance travelled by the ball as it falls. 10- A softball of mass 250 gm is thrown with an initial velocity of 16 m sec at an angle 0 to the horizontal. The total time od flight is 12 sec. What is the angle 0? 11- A skater moves around circle of radius 30 m. The central force of 450 N. After 40 sec, the skater finish 2 revolution. What is the mass of the skater?
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