SINHGAD TECHNICAL EDUCATION SOCIETY’S
SINHGAD INSTITUTE OF TECHNOLOGY
(Affiliated to Savitribai Phule Pune University, Pune & Approved by AICTE)
Gat No. 309/310, off Mumbai Pune Expressway Kusagaon (Bk), Lonavala Pune – 410401
DEPARMENT OF ENGINEERING
SCIENCE
Subject: Engineering Mechanics
UNIT 5
QUESTION BANK
Que. Question Marks
No.
Water flows from a drain spout with an
initial velocity of 0.75 m/s at an angle of 75
degree with the vertical as shown in fig.
1.
Determine the range of values of the
distance ‘d’ for which the water will enter
the trough BC.
A base ball is thrown down from a 15 m tower with an initial velocity of 5 m/s. Determine
2. the velocity with which it hits the ground and also determine the time of travel.
A model rocket is launched from point ‘A’
with an initial velocity v0 = 86 m/s. If the
rocket lands 104 m from ‘A’ determine: (a)
3.
the angle α that v0 forms with vertical, (b)
the maximum height reached by the rocket,
(c) the duration of the flight. Refer fig
A projectile is fired from the edge of a 150
m cliff with an initial velocity of 180 m/s at
an angle of 30o with the horizontal.
Neglecting air resistance, find the horizontal
4. distance from the gun to the point, where the
projectile strikes the ground and the greatest
elevation above the ground reached by the
projectile. Refer the fig.
A 2 kg stone is dropped from a height ‘h’ and strikes the ground with a velocity of
24 m/s. Find the kinetic energy of the stone as it strikes the ground and the height ‘h’ from
5.
which it was dropped.
A car comes to complete stop from an initial speed of 50 km/h in a distance of 100 m. With
6. the same constant acceleration, what would be the stopping distance ‘s’ from an initial
speed of 70 km/h.
If the crest of the hill has a radius of curvature ρ = 60 m, determine the maximum constant
7. speed at which the car of weight 17.5 KN can travel over it without leaving the surface of
the road.
Tel. : 91 2114 – 673353/355 /356 , Telefax: 02114 – 278304 Email : principal _sit @sinhgad.edu Fax. : 276929 Website: www.sinhgad.ed
SINHGAD TECHNICAL EDUCATION SOCIETY’S
SINHGAD INSTITUTE OF TECHNOLOGY
(Affiliated to Savitribai Phule Pune University, Pune & Approved by AICTE)
Gat No. 309/310, off Mumbai Pune Expressway Kusagaon (Bk), Lonavala Pune – 410401
DEPARMENT OF ENGINEERING
SCIENCE
The velocity of a particle is given by, v = 20t2 – 100t + 50, where ‘v’ is in m/s and ‘t’ is in
8. seconds. Determine the velocity of particle, when acceleration is zero.
A cricket ball shot by a batsman from a height of 1.8 m at an angle of 30o with the
9. horizontal with a velocity of 18 m/s is caught by a fielder at a height of 0.6 m from the
ground. Determine the horizontal distance between the batsman and fielder.
The small ball of mass ‘m’ is attached to a
light cord of length ‘L’ and moves as a
conical pendulum in a horizontal circle with
a tangential velocity ‘v’ as shown in fig.
10.
Used the relation
v = rω. Determine ‘h’ and tension ‘T’ in
the cord.
During a race the dirt bike was observed to
leap up off the small hill at ‘A’ at an angle
of 60o with the horizontal as shown in fig. If
11. the point of landing is 6 m away, determine
the approximate speed at which the bike was
travelling just before it left the ground.
A base ball is thrown downward from a 15 m tower with an initial speed of 5 m/s.
12. Determine the speed at which it hits the ground and the time of travel.
A bicyclist starts from rest and after traveling along a straight path a distance of 20 m
13. reaches a speed of 30 km/h. Determine the constant acceleration and how long does it take
to reach the speed of 30 km/h.
Determine the maximum constant speed at
which the pilot can travel around the vertical
curve having a radius of curvature ρ = 800
m, so that he experiences a maximum
acceleration
14. an = 8g = 78.5 m/s2. If he has a mass of 70
kg, determine the normal force he exerts on
the seat of the airplane when the plane in
traveling at this speed and is at the lowest
point. Refer fig.
A particle starts with an initial velocity of 2.5 m/s and uniformly acceleration at the rate 0.5
15. m/s2. Determine the displacement in 2s, time required to attain the velocity of 7.5 m/s and
the distance travelled when it attain a velocity of 7.5 m/s.
A particle is projected at an angle of 30o to the horizontal with a velocity of 100 m/s.
16. Determine the range of radius of curvature of the path followed by the particle.
Tel. : 91 2114 – 673353/355 /356 , Telefax: 02114 – 278304 Email : principal _sit @sinhgad.edu Fax. : 276929 Website: www.sinhgad.ed
SINHGAD TECHNICAL EDUCATION SOCIETY’S
SINHGAD INSTITUTE OF TECHNOLOGY
(Affiliated to Savitribai Phule Pune University, Pune & Approved by AICTE)
Gat No. 309/310, off Mumbai Pune Expressway Kusagaon (Bk), Lonavala Pune – 410401
DEPARMENT OF ENGINEERING
SCIENCE
A 150 kg car enters a curved portion of the road of radius 200 m travelling at a constant
speed of 36 km/h. Determine the normal and tangential component of force at curved
17.
portion.
A rocket follows a path such that its acceleration is defined by ‘ a = (4i + tj) m/s2. If it starts
from rest at t = 0, determine the speed of the rocket and the radius of curvature of its path
18.
when t = 10 s.
The tennis player serves the ball from height
‘H’ with an initial velocity of 40 m/s at an
angle of 4o with the horizontal as shown in
fig. Knowing that the ball clears the 0.914 m
19.
net height by 152 mm, determine : (a) the
height ‘H’ , (b) the distance from the net ‘d’
where the ball strike the floor.
Tel. : 91 2114 – 673353/355 /356 , Telefax: 02114 – 278304 Email : principal _sit @sinhgad.edu Fax. : 276929 Website: www.sinhgad.ed
